# Faculty by Specialty

- Algebra & Combinatorics
- Analysis
- Biological Modeling
- Computational Mathematics
- Geometry: Differential & Algebraic
- Mathematical Physics
- Number Theory
- PDE & Dynamical Systems
- Physical Modeling
- Probability
- Signals, Images, & Data
- Topology
- Mathematics Education

#### Pankaj K. Agarwal

- Professor of Mathematics

**Office: **D315 Lev Sci Res Ctr, Durham, NC 27708

**Phone: **(919) 660-6548

Computational and combinatorial geometry, computational biology, robotics, spatial databases, geographic molecular information systems, and data structures. full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

My research concerns problems in the geometric theory of partial differential equations. More specifically, I work on conservation laws for PDE, Finsler geometry, projective geometry, and Riemannian... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

Robert Calderbank is Director of the Information Initiative at Duke University, where he is Professor of Electrical Engineering, Computer Science and Mathematics. He joined Duke in 2010, completed a... full profile »

#### Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

**Office: **225 Physics, Duke Mathematics Department, Durham, NC 27708-0320

Automorphic representations and arithmetic geometry. full profile »

#### Heekyoung Hahn

- Assistant Research Professor of Mathematics

**Office: **220 Physics, Durham, NC 27708

**Phone: **(919) 660-2850

Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and Littlewood-Richardson coefficients full profile »

#### Richard Hain

- Professor of Mathematics

**Office: **107 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2819

I am a topologist whose main interests include the study of the topology of complex algebraic varieties (i.e. spaces that are the set of common zeros of a finite number of complex polynomials). What... full profile »

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

Professor Miller's research centers around problems in geometry, algebra, topology, combinatorics, statistics, probability, and computation originating in mathematics and the sciences, including... full profile »

#### William L. Pardon

- Professor of Mathematics

**Office: **219 Physics Bldg, Durham, NC 27708

**Office Hours: **T, 1:30-3:00W, 12:00-2:30

**Phone: **(919) 660-2838

In [1] an old question of de Rham about the topological classification of rotations of Euclidean space was largely answered in the affirmative. Methods of algebraic K-theory were used to study... full profile »

#### Leslie Saper

- Professor of Mathematics

**Office: **120 Science Dr, Room 110 Physics Building, Durham, NC 27708-0320

**Office Hours: **Tuesdays, 1:30 - 12:00, Fridays, 11:00 - 12:00, and by appointment

**Phone: **(919) 660-2843

A central theme in mathematics has been the interplay between topology and analysis. One subject here is the representation of topological invariants (such as cohomology) by analytic means (such as... full profile »

#### Chadmark L. Schoen

- Professor of Mathematics

**Office: **191 Physics Bldg, Durham, NC 27708

**Office Hours: **February 14 - March 21, 2017Tuesday 10:30 - 11:30Thursday 10:30 - 11:30

**Phone: **(919) 660-2813

I work on the geometry and arithmetic of figures defined by polynomial equations. I am especially interested in the geometry of algebraic curves, surfaces, threefolds and fourfolds over the complex... full profile »

#### William K. Allard

- Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2802

1. My main research effort will be to continue my collaboration with the Data Driven Modeling and Analysis group at LANL. This group works for the most part in the area of image processing. 2. I... full profile »

#### J. Thomas Beale

- Professor Emeritus of Mathematics

**Office: **231 Physics Bldg, Durham, NC 27708-0320

**Office Hours: **by appointment.

**Phone: **(919) 660-2814

Here are two recent papers:J. T. Beale, W. Ying, and J. R. Wilson, A simple method for computing singular or nearly singular integrals on closed surfaces, Comm. Comput. Phys. 20 (2016), 733-753 or ... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

My research concerns problems in the geometric theory of partial differential equations. More specifically, I work on conservation laws for PDE, Finsler geometry, projective geometry, and Riemannian... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

Robert Calderbank is Director of the Information Initiative at Duke University, where he is Professor of Electrical Engineering, Computer Science and Mathematics. He joined Duke in 2010, completed a... full profile »

#### Xiuyuan Cheng

- Assistant Professor of Mathematics

**Office: **120 Science Drive, 293 Physics Building, Durham, NC 27708

As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning. full profile »

#### Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

**Office: **225 Physics, Duke Mathematics Department, Durham, NC 27708-0320

Automorphic representations and arithmetic geometry. full profile »

#### Heekyoung Hahn

- Assistant Research Professor of Mathematics

**Office: **220 Physics, Durham, NC 27708

**Phone: **(919) 660-2850

Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and Littlewood-Richardson coefficients full profile »

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

I am interested in studying techniques to uncover gerrymandering and redistricting algorithmically, and computational fluid dynamics and high performance computing. I am teaching ordinary and... full profile »

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics

My current research interests focus on mathematical fluid mechanics and mathematical biology.In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger... full profile »

#### Jian-Guo Liu

- Professor of Mathematics

**Office: **285 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2500

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other... full profile »

#### Jonathan Christopher Mattingly

- Professor of Mathematics

Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a... full profile »

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **243 Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays, 3:30-5:00Wednesdays, 10:30-12:00

**Phone: **(919) 660-2862

I study partial differential equations and probability, which have been used to model many phenomena in the natural sciences and engineering. In some cases, the parameters for a partial differential... full profile »

#### William L. Pardon

- Professor of Mathematics

**Office: **219 Physics Bldg, Durham, NC 27708

**Office Hours: **T, 1:30-3:00W, 12:00-2:30

**Phone: **(919) 660-2838

In [1] an old question of de Rham about the topological classification of rotations of Euclidean space was largely answered in the affirmative. Methods of algebraic K-theory were used to study... full profile »

#### Lillian Beatrix Pierce

- Nicholas J. and Theresa M. Leonardy Associate Professor

**Office: **Duke Box 90320 120 Science Drive,, Room 117 Physics Building, Durham, NC 27708

**Phone: **(919) 660-2879

#### Michael C. Reed

- Professor of Mathematics

**Office: **237 Physics Bldg., Duke University, Box 90320, Durham, NC 27708

**Phone: **(919) 660-2808

Professor Reed is engaged in a large number of research projects that involve the application of mathematics to questions in physiology and medicine. He also works on questions in analysis that are... full profile »

#### Mark A. Stern

- Professor of Mathematics

**Office: **116 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2840

The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology, physics, and number theory. In recent work, Professor Stern has studied analytical, geometric... full profile »

#### Thomas Peter Witelski

- Professor in the Department of Mathematics

**Office: **295 Physics Bldg, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-2841

My primary area of expertise is the solution of nonlinear ordinary and partial differential equations for models of physical systems. Using asymptotics along with a mixture of other applied... full profile »

#### Hau-Tieng Wu

- Associate Professor of Mathematics

**Office: **207 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2861

#### Richard Timothy Durrett

- James B. Duke Professor of Mathematics

**Office: **105 Physics Building, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-6970

#### John Harer

- Professor of Mathematics

**Office: **109 Physic Bldg, Durham, NC 27708

**Phone: **(919) 660-2845

Professor Harer's primary research is in the use of geometric, combinatorial and computational techniques to study a variety of problems in data analysis, shape recognition, image segmentation,... full profile »

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

I am interested in studying techniques to uncover gerrymandering and redistricting algorithmically, and computational fluid dynamics and high performance computing. I am teaching ordinary and... full profile »

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics

My current research interests focus on mathematical fluid mechanics and mathematical biology.In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger... full profile »

#### David P. Kraines

- Associate Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2849

Dr. Kraines contributed to the theory of homology and cohomology operations, particularly to Massey products and loop operations. Among the applications of his work has been his construction of the... full profile »

#### Anita T. Layton

- Professor in the Department of Mathematics

**Office: **213 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-6971

**Mathematical physiology.** My main research interest is the application of mathematics to biological systems, specifically, mathematical modeling of renal physiology. Current projects involve (... full profile »

#### Harold Layton

- Professor of Mathematics

**Office: **221 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2809

Professor Layton is modeling renal function at the level of the nephron (the functional unit of the kidney) and at the level of nephron populations. In particular, he is studying tubuloglomerular... full profile »

#### Jonathan Christopher Mattingly

- Professor of Mathematics

Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a... full profile »

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

Professor Miller's research centers around problems in geometry, algebra, topology, combinatorics, statistics, probability, and computation originating in mathematics and the sciences, including... full profile »

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **243 Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays, 3:30-5:00Wednesdays, 10:30-12:00

**Phone: **(919) 660-2862

I study partial differential equations and probability, which have been used to model many phenomena in the natural sciences and engineering. In some cases, the parameters for a partial differential... full profile »

#### Amanda Randles

- Assistant Professor of Mathematics

**Office: **301 Gross Hall, 140 Science Dr., Durham, NC 27708

**Phone: **(919) 660-5425

My research in biomedical simulation and high performance computing focuses on the development of new computational tools that we use to provide insight into the localization and development of human... full profile »

#### Michael C. Reed

- Professor of Mathematics

**Office: **237 Physics Bldg., Duke University, Box 90320, Durham, NC 27708

**Phone: **(919) 660-2808

Professor Reed is engaged in a large number of research projects that involve the application of mathematics to questions in physiology and medicine. He also works on questions in analysis that are... full profile »

#### Marc Ryser

- Visiting Assistant Professor

**Office: **1021 Minerva Ave, Apt 2, Durham, NC 27701

**Phone: **+1 919 681 0347

**I am the recipient of the 2013 Doctoral Prize of the Canadian Mathematical Society..**... full profile »

#### Hau-Tieng Wu

- Associate Professor of Mathematics

**Office: **207 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2861

#### Pankaj K. Agarwal

- Professor of Mathematics

**Office: **D315 Lev Sci Res Ctr, Durham, NC 27708

**Phone: **(919) 660-6548

Computational and combinatorial geometry, computational biology, robotics, spatial databases, geographic molecular information systems, and data structures. full profile »

#### William K. Allard

- Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2802

1. My main research effort will be to continue my collaboration with the Data Driven Modeling and Analysis group at LANL. This group works for the most part in the area of image processing. 2. I... full profile »

#### J. Thomas Beale

- Professor Emeritus of Mathematics

**Office: **231 Physics Bldg, Durham, NC 27708-0320

**Office Hours: **by appointment.

**Phone: **(919) 660-2814

Here are two recent papers:J. T. Beale, W. Ying, and J. R. Wilson, A simple method for computing singular or nearly singular integrals on closed surfaces, Comm. Comput. Phys. 20 (2016), 733-753 or ... full profile »

#### Paul L Bendich

- Assistant Research Professor in the Department of Mathematics

**Office: **121 Physcis Bldg, Durham, NC 27708

**Phone: **(919) 660-2811

I work in computational topology, which for me means adapting and using tools from algebraic topology in order to study noisy and high-dimensional datasets arising from a variety of scientific... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

My research concerns problems in the geometric theory of partial differential equations. More specifically, I work on conservation laws for PDE, Finsler geometry, projective geometry, and Riemannian... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

Robert Calderbank is Director of the Information Initiative at Duke University, where he is Professor of Electrical Engineering, Computer Science and Mathematics. He joined Duke in 2010, completed a... full profile »

#### Xiuyuan Cheng

- Assistant Professor of Mathematics

**Office: **120 Science Drive, 293 Physics Building, Durham, NC 27708

As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning. full profile »

#### John Harer

- Professor of Mathematics

**Office: **109 Physic Bldg, Durham, NC 27708

**Phone: **(919) 660-2845

Professor Harer's primary research is in the use of geometric, combinatorial and computational techniques to study a variety of problems in data analysis, shape recognition, image segmentation,... full profile »

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

I am interested in studying techniques to uncover gerrymandering and redistricting algorithmically, and computational fluid dynamics and high performance computing. I am teaching ordinary and... full profile »

#### Anita T. Layton

- Professor in the Department of Mathematics

**Office: **213 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-6971

**Mathematical physiology.** My main research interest is the application of mathematics to biological systems, specifically, mathematical modeling of renal physiology. Current projects involve (... full profile »

#### Jian-Guo Liu

- Professor of Mathematics

**Office: **285 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2500

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other... full profile »

#### Jonathan Christopher Mattingly

- Professor of Mathematics

Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a... full profile »

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### Henry Pfister

- Associate Professor of Mathematics

**Office: **140 Science Dr., 305 Gross Hall, Durham, NC 27708

**Phone: **(919) 660-5288

Henry D. Pfister received his Ph.D. in electrical engineering in 2003 from the University of California, San Diego and is currently an associate professor in the Electrical and Computer Engineering... full profile »

#### Amanda Randles

- Assistant Professor of Mathematics

**Office: **301 Gross Hall, 140 Science Dr., Durham, NC 27708

**Phone: **(919) 660-5425

My research in biomedical simulation and high performance computing focuses on the development of new computational tools that we use to provide insight into the localization and development of human... full profile »

#### Marc Ryser

- Visiting Assistant Professor

**Office: **1021 Minerva Ave, Apt 2, Durham, NC 27701

**Phone: **+1 919 681 0347

**I am the recipient of the 2013 Doctoral Prize of the Canadian Mathematical Society..**... full profile »

#### Guillermo Sapiro

- Professor of Mathematics

**Office Hours: **By appointment. Contact via e-mail.

Guillermo Sapiro received his B.Sc. (summa cum laude), M.Sc., and Ph.D. from the Department of Electrical Engineering at the Technion, Israel Institute of Technology, in 1989, 1991, and 1993... full profile »

#### Thomas Peter Witelski

- Professor in the Department of Mathematics

**Office: **295 Physics Bldg, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-2841

My primary area of expertise is the solution of nonlinear ordinary and partial differential equations for models of physical systems. Using asymptotics along with a mixture of other applied... full profile »

#### William K. Allard

- Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2802

1. My main research effort will be to continue my collaboration with the Data Driven Modeling and Analysis group at LANL. This group works for the most part in the area of image processing. 2. I... full profile »

#### Paul Stephen Aspinwall

- Professor of Mathematics

**Office: **244 Physics Bldg, Durham, NC 27708

**Office Hours: **1:00 to 2:00pm each Tuesday10:30am to 11:30am each Thursday

**Phone: **(919) 660-2874

String theory is hoped to provide a theory of all fundamental physics encompassing both quantum mechanics and general relativity. String theories naturally live in a large number of dimensions and... full profile »

#### Hubert Bray

- Professor of Mathematics

**Office: **189 Physics Bldg, Durham, NC 27710

**Office Hours: **Mondays, 4:30 - 6:30 p.m.

**Phone: **(919) 757-8428

Professor Bray uses differential geometry to understand general relativity, and general relativity to motivate interesting problems in differential geometry. In 2001, he published his proof of the... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

#### Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

**Office: **225 Physics, Duke Mathematics Department, Durham, NC 27708-0320

Automorphic representations and arithmetic geometry. full profile »

#### Heekyoung Hahn

- Assistant Research Professor of Mathematics

**Office: **220 Physics, Durham, NC 27708

**Phone: **(919) 660-2850

Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and Littlewood-Richardson coefficients full profile »

#### Richard Hain

- Professor of Mathematics

**Office: **107 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2819

I am a topologist whose main interests include the study of the topology of complex algebraic varieties (i.e. spaces that are the set of common zeros of a finite number of complex polynomials). What... full profile »

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

Professor Miller's research centers around problems in geometry, algebra, topology, combinatorics, statistics, probability, and computation originating in mathematics and the sciences, including... full profile »

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### Lenhard Lee Ng

- Eads Family Professor

**Office: **216 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Office Hours: **Spring 2018:
Mondays 2:00-3:00
Thursdays 11:00-12:00
and by appointment.

**Phone: **(919) 660-6972

My research mainly focuses on symplectic topology and low-dimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds,... full profile »

#### William L. Pardon

- Professor of Mathematics

**Office: **219 Physics Bldg, Durham, NC 27708

**Office Hours: **T, 1:30-3:00W, 12:00-2:30

**Phone: **(919) 660-2838

In [1] an old question of de Rham about the topological classification of rotations of Euclidean space was largely answered in the affirmative. Methods of algebraic K-theory were used to study... full profile »

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Leslie Saper

- Professor of Mathematics

**Office: **120 Science Dr, Room 110 Physics Building, Durham, NC 27708-0320

**Office Hours: **Tuesdays, 1:30 - 12:00, Fridays, 11:00 - 12:00, and by appointment

**Phone: **(919) 660-2843

A central theme in mathematics has been the interplay between topology and analysis. One subject here is the representation of topological invariants (such as cohomology) by analytic means (such as... full profile »

#### Chadmark L. Schoen

- Professor of Mathematics

**Office: **191 Physics Bldg, Durham, NC 27708

**Office Hours: **February 14 - March 21, 2017Tuesday 10:30 - 11:30Thursday 10:30 - 11:30

**Phone: **(919) 660-2813

I work on the geometry and arithmetic of figures defined by polynomial equations. I am especially interested in the geometry of algebraic curves, surfaces, threefolds and fourfolds over the complex... full profile »

#### Mark A. Stern

- Professor of Mathematics

**Office: **116 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2840

The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology, physics, and number theory. In recent work, Professor Stern has studied analytical, geometric... full profile »

#### Hau-Tieng Wu

- Associate Professor of Mathematics

**Office: **207 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2861

#### Paul Stephen Aspinwall

- Professor of Mathematics

**Office: **244 Physics Bldg, Durham, NC 27708

**Office Hours: **1:00 to 2:00pm each Tuesday10:30am to 11:30am each Thursday

**Phone: **(919) 660-2874

String theory is hoped to provide a theory of all fundamental physics encompassing both quantum mechanics and general relativity. String theories naturally live in a large number of dimensions and... full profile »

#### Hubert Bray

- Professor of Mathematics

**Office: **189 Physics Bldg, Durham, NC 27710

**Office Hours: **Mondays, 4:30 - 6:30 p.m.

**Phone: **(919) 757-8428

Professor Bray uses differential geometry to understand general relativity, and general relativity to motivate interesting problems in differential geometry. In 2001, he published his proof of the... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics

My current research interests focus on mathematical fluid mechanics and mathematical biology.In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger... full profile »

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other... full profile »

#### Lenhard Lee Ng

- Eads Family Professor

**Office: **216 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Office Hours: **Spring 2018:
Mondays 2:00-3:00
Thursdays 11:00-12:00
and by appointment.

**Phone: **(919) 660-6972

My research mainly focuses on symplectic topology and low-dimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds,... full profile »

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Mark A. Stern

- Professor of Mathematics

**Office: **116 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2840

The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology, physics, and number theory. In recent work, Professor Stern has studied analytical, geometric... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

#### Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

**Office: **225 Physics, Duke Mathematics Department, Durham, NC 27708-0320

Automorphic representations and arithmetic geometry. full profile »

#### Heekyoung Hahn

- Assistant Research Professor of Mathematics

**Office: **220 Physics, Durham, NC 27708

**Phone: **(919) 660-2850

#### Richard Hain

- Professor of Mathematics

**Office: **107 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2819

I am a topologist whose main interests include the study of the topology of complex algebraic varieties (i.e. spaces that are the set of common zeros of a finite number of complex polynomials). What... full profile »

#### William L. Pardon

- Professor of Mathematics

**Office: **219 Physics Bldg, Durham, NC 27708

**Office Hours: **T, 1:30-3:00W, 12:00-2:30

**Phone: **(919) 660-2838

#### Lillian Beatrix Pierce

- Nicholas J. and Theresa M. Leonardy Associate Professor

**Office: **Duke Box 90320 120 Science Drive,, Room 117 Physics Building, Durham, NC 27708

**Phone: **(919) 660-2879

#### Leslie Saper

- Professor of Mathematics

**Office: **120 Science Dr, Room 110 Physics Building, Durham, NC 27708-0320

**Office Hours: **Tuesdays, 1:30 - 12:00, Fridays, 11:00 - 12:00, and by appointment

**Phone: **(919) 660-2843

A central theme in mathematics has been the interplay between topology and analysis. One subject here is the representation of topological invariants (such as cohomology) by analytic means (such as... full profile »

#### J. Thomas Beale

- Professor Emeritus of Mathematics

**Office: **231 Physics Bldg, Durham, NC 27708-0320

**Office Hours: **by appointment.

**Phone: **(919) 660-2814

Here are two recent papers:J. T. Beale, W. Ying, and J. R. Wilson, A simple method for computing singular or nearly singular integrals on closed surfaces, Comm. Comput. Phys. 20 (2016), 733-753 or ... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics

#### Anita T. Layton

- Professor in the Department of Mathematics

**Office: **213 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-6971

**Mathematical physiology.** My main research interest is the application of mathematics to biological systems, specifically, mathematical modeling of renal physiology. Current projects involve (... full profile »

#### Jian-Guo Liu

- Professor of Mathematics

**Office: **285 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2500

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

#### Jonathan Christopher Mattingly

- Professor of Mathematics

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **243 Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays, 3:30-5:00Wednesdays, 10:30-12:00

**Phone: **(919) 660-2862

I study partial differential equations and probability, which have been used to model many phenomena in the natural sciences and engineering. In some cases, the parameters for a partial differential... full profile »

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Marc Ryser

- Visiting Assistant Professor

**Office: **1021 Minerva Ave, Apt 2, Durham, NC 27701

**Phone: **+1 919 681 0347

**I am the recipient of the 2013 Doctoral Prize of the Canadian Mathematical Society..**... full profile »

#### Mark A. Stern

- Professor of Mathematics

**Office: **116 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2840

#### Thomas Peter Witelski

- Professor in the Department of Mathematics

**Office: **295 Physics Bldg, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-2841

My primary area of expertise is the solution of nonlinear ordinary and partial differential equations for models of physical systems. Using asymptotics along with a mixture of other applied... full profile »

#### J. Thomas Beale

- Professor Emeritus of Mathematics

**Office: **231 Physics Bldg, Durham, NC 27708-0320

**Office Hours: **by appointment.

**Phone: **(919) 660-2814

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

#### Jonathan Christopher Mattingly

- Professor of Mathematics

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **243 Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays, 3:30-5:00Wednesdays, 10:30-12:00

**Phone: **(919) 660-2862

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Amanda Randles

- Assistant Professor of Mathematics

**Office: **301 Gross Hall, 140 Science Dr., Durham, NC 27708

**Phone: **(919) 660-5425

My research in biomedical simulation and high performance computing focuses on the development of new computational tools that we use to provide insight into the localization and development of human... full profile »

#### Thomas Peter Witelski

- Professor in the Department of Mathematics

**Office: **295 Physics Bldg, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-2841

#### Alessandro Arlotto

- Associate Professor of Mathematics

**Office: **100 Fuqua Drive, Box 90120, Durham, NC 27708

**Phone: **(919) 660-7780

Alessandro Arlotto is an Associate Professor of Business Administration, Mathematics, and Statistical Science at Duke University. Alessandro holds a primary appointment in the Decision Sciences area... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

#### Xiuyuan Cheng

- Assistant Professor of Mathematics

**Office: **120 Science Drive, 293 Physics Building, Durham, NC 27708

As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning. full profile »

#### David B. Dunson

- Arts and Sciences Professor of Statistical Science

**Office: **218 Old Chemistry Bldg, Durham, NC 27708

**Phone: **(919) 684-8025

Development of Bayesian statistical methods and approaches for uncertainty quantification motivated by applications with complex and high-dimensional data. A particular interest is in high-... full profile »

#### Richard Timothy Durrett

- James B. Duke Professor of Mathematics

**Office: **105 Physics Building, Box 90320, Durham, NC 27708-0320

**Phone: **(919) 660-6970

#### Gregory Joseph Herschlag

- Visiting Assistant Professor of Mathematics

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

#### Jonathan Christopher Mattingly

- Professor of Mathematics

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **243 Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays, 3:30-5:00Wednesdays, 10:30-12:00

**Phone: **(919) 660-2862

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Henry Pfister

- Associate Professor of Mathematics

**Office: **140 Science Dr., 305 Gross Hall, Durham, NC 27708

**Phone: **(919) 660-5288

Henry D. Pfister received his Ph.D. in electrical engineering in 2003 from the University of California, San Diego and is currently an associate professor in the Electrical and Computer Engineering... full profile »

#### Cynthia D. Rudin

- Associate Professor of Mathematics

Cynthia Rudin is an associate professor of computer science, electrical and computer engineering, statistical science and mathematics at Duke University, and directs the Prediction Analysis Lab.... full profile »

#### Marc Ryser

- Visiting Assistant Professor

**Office: **1021 Minerva Ave, Apt 2, Durham, NC 27701

**Phone: **+1 919 681 0347

**I am the recipient of the 2013 Doctoral Prize of the Canadian Mathematical Society..**... full profile »

#### Hau-Tieng Wu

- Associate Professor of Mathematics

**Office: **207 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2861

#### William K. Allard

- Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2802

#### Paul L Bendich

- Assistant Research Professor in the Department of Mathematics

**Office: **121 Physcis Bldg, Durham, NC 27708

**Phone: **(919) 660-2811

I work in computational topology, which for me means adapting and using tools from algebraic topology in order to study noisy and high-dimensional datasets arising from a variety of scientific... full profile »

#### Robert Calderbank

- Professor of Mathematics

**Office: **140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Phone: **(919) 613-7874

#### Xiuyuan Cheng

- Assistant Professor of Mathematics

**Office: **120 Science Drive, 293 Physics Building, Durham, NC 27708

#### David B. Dunson

- Arts and Sciences Professor of Statistical Science

**Office: **218 Old Chemistry Bldg, Durham, NC 27708

**Phone: **(919) 684-8025

Development of Bayesian statistical methods and approaches for uncertainty quantification motivated by applications with complex and high-dimensional data. A particular interest is in high-... full profile »

#### John Harer

- Professor of Mathematics

**Office: **109 Physic Bldg, Durham, NC 27708

**Phone: **(919) 660-2845

Professor Harer's primary research is in the use of geometric, combinatorial and computational techniques to study a variety of problems in data analysis, shape recognition, image segmentation,... full profile »

#### Jianfeng Lu

- Associate Professor of Mathematics

**Office: **242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2875

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Henry Pfister

- Associate Professor of Mathematics

**Office: **140 Science Dr., 305 Gross Hall, Durham, NC 27708

**Phone: **(919) 660-5288

Henry D. Pfister received his Ph.D. in electrical engineering in 2003 from the University of California, San Diego and is currently an associate professor in the Electrical and Computer Engineering... full profile »

#### Cynthia D. Rudin

- Associate Professor of Mathematics

Cynthia Rudin is an associate professor of computer science, electrical and computer engineering, statistical science and mathematics at Duke University, and directs the Prediction Analysis Lab.... full profile »

#### Guillermo Sapiro

- Professor of Mathematics

**Office Hours: **By appointment. Contact via e-mail.

Guillermo Sapiro received his B.Sc. (summa cum laude), M.Sc., and Ph.D. from the Department of Electrical Engineering at the Technion, Israel Institute of Technology, in 1989, 1991, and 1993... full profile »

#### Hau-Tieng Wu

- Associate Professor of Mathematics

**Office: **207 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2861

#### Paul L Bendich

- Assistant Research Professor in the Department of Mathematics

**Office: **121 Physcis Bldg, Durham, NC 27708

**Phone: **(919) 660-2811

I work in computational topology, which for me means adapting and using tools from algebraic topology in order to study noisy and high-dimensional datasets arising from a variety of scientific... full profile »

#### Robert Bryant

- Phillip Griffiths Professor of Mathematics

**Office: **103 Physics Bldg, West Campus, Durham, NC 27708

**Office Hours: **Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

**Phone: **(919) 660-2817

#### Richard Hain

- Professor of Mathematics

**Office: **107 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2819

#### John Harer

- Professor of Mathematics

**Office: **109 Physic Bldg, Durham, NC 27708

**Phone: **(919) 660-2845

#### David P. Kraines

- Associate Professor Emeritus of Mathematics

**Office: **233 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2849

Dr. Kraines contributed to the theory of homology and cohomology operations, particularly to Massey products and loop operations. Among the applications of his work has been his construction of the... full profile »

#### Adam S. Levine

- Assistant Professor of Mathematics

**Office: **120 Science Drive, 211 Physics Building, Durham, NC 27708

**Phone: **(919) 660-2802

My research is in low-dimensional topology, the study of the shapes of 3- and 4-dimensional spaces (manifolds) and of curves and surfaces contained therein. Classifying smooth 4-dimensional manifolds... full profile »

#### Ezra Miller

- Professor of Mathematics

**Office: **209 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-2846

#### Sayan Mukherjee

- Professor of Mathematics

**Office: **112 Old Chemistry Building, 90251, Durham, NC 27708

**Phone: **(919) 684-4608

#### Lenhard Lee Ng

- Eads Family Professor

**Office: **216 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Office Hours: **Spring 2018:
Mondays 2:00-3:00
Thursdays 11:00-12:00
and by appointment.

**Phone: **(919) 660-6972

My research mainly focuses on symplectic topology and low-dimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds,... full profile »

#### William L. Pardon

- Professor of Mathematics

**Office: **219 Physics Bldg, Durham, NC 27708

**Office Hours: **T, 1:30-3:00W, 12:00-2:30

**Phone: **(919) 660-2838

#### Arlie O. Petters

- Benjamin Powell Professor of Mathematics in Trinity College of Arts and Sciences

**Office: **114 Allen Bldg, Durham, NC 27708

**Phone: **(919) 684-3465

**Mathematical Physics** *Mathematics* - tools form differential geometry, singularities, and probability theory *Physics* - problems connected to the interplay of gravity and... full profile »

#### Leslie Saper

- Professor of Mathematics

**Office: **120 Science Dr, Room 110 Physics Building, Durham, NC 27708-0320

**Office Hours: **Tuesdays, 1:30 - 12:00, Fridays, 11:00 - 12:00, and by appointment

**Phone: **(919) 660-2843

#### Mark A. Stern

- Professor of Mathematics

**Office: **116 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2840

#### Rann Bar-On

- Lecturer of Mathematics

**Office: **013 Physics, Durham, NC 27708

**Phone: **(919) 660-2872

Rann Bar-On specializes in early undergraduate mathematics education. For the past decade, he has taught and supervised Math 105L and 106L, entry-level calculus courses at Duke. He has edited the lab... full profile »

#### Lewis D. Blake

- Associate Professor of the Practice Emeritus of Mathematics

**Office: **035 Physics Building, Durham, NC 27708

**Phone: **(919) 660-2800

I am interested in teaching mathematics and in how students learn mathematics. In particular my activities involve observing how students learn in a classroom setting and in a laboratory setting. I... full profile »

#### Jack Bookman

- Professor of the Practice Emeritus of Mathematics

**Office: **019 Physics Building, 120 Sci, Box 90320, Durham, NC 27708, Durham, NC 27708

**Phone: **(919) 660-2831

My research in mathematics education is currently focusing on three areas: (1) how students learn mathematics, especially in technology rich environments; (2) how graduate students develop their... full profile »

#### Clark Bray

- Associate Professor of the Practice of Mathematics

**Office: **123 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2822

I am interested in:1. the execution and continual refinement of my teaching methods, in terms of both themathematical choices and the style of presentation;2. the continual evaluation of course... full profile »

#### Sarah Schott

- Assistant Professor of the Practice of Mathematics

**Office: **127 Physics Bldg, Durham, NC 27708

**Phone: **(919) 660-2858

#### David A. Smith

- Associate Professor Emeritus of Mathematics

**Office: **PO Box 90320, Durham, NC 27708

**Phone: **(919) 660-2800

Professor Smith is Co-Director (with Professor Lawrence Moore) of Project CALC, which developed an award-winning curriculum for calculus... full profile »