# Faculty

#### Pankaj K. Agarwal

- Professor of Computer Science
- Faculty Network Member of The Energy Initiative
- Professor of Mathematics (Secondary)
- Chair of Computer Science
- Bass Fellow
- RJR Nabisco Professor of Computer Science in Trinity College of Arts and Sciences

**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 »

#### Victoria S Akin

- Assistant Professor of the Practice of Mathematics

**Office Hours: **111L: Tuesday 4-5 in Physics 123112L: Tuesday 5-6 in Physics 123By appointment: Wednesday 2-3 in West Duke 09AHelp Room: Tuesday 2-3 and Wednesday 4:30-5:30

I am interested in mapping class groups of orientable surfaces. In particular, can a subgroup of the mapping class group with a natural topological or geometric definition be characterized purely... full profile »

#### Alessandro Arlotto

- Associate Professor of Business Adminstration
- Associate Professor of Mathematics (Secondary)
- Associate Professor of Statistical Science (Secondary)

**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 »

#### Paul Stephen Aspinwall

- Professor of Physics (Secondary)
- 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 »

#### 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 »

#### 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 »

#### Clark Bray

- Associate Professor of the Practice of Mathematics
- Supervisor of First-Year Instruction (SFI) 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 »

#### Hubert Bray

- Professor of Mathematics
- Professor in the Department of Physics (Secondary)

**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

- Professor in the Department of Mathematics
- 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 Computer Science
- Professor of Electrical and Computer Engineering (Joint)
- Professor of Mathematics (Joint)
- Director of the Information Initiative at Duke
- Professor of Physics (Secondary)
- Charles S. Sydnor Professor of Computer Science

**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 »

#### Ingrid Daubechies

- Professor in the Department of Mathematics
- Professor in the Department of Electrical and Computer Engineering (Joint)
- James B. Duke Professor of Mathematics and Electrical and Computer Engineering

#### David B. Dunson

- Professor of Statistical Science
- Faculty Network Member of the Duke Institute for Brain Sciences
- 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

- Professor of Mathematics
- Director of Graduate Studies of Mathematics
- James B. Duke Professor of Mathematics

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

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

#### 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 »

#### 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 »

#### Matthew S Junge

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

#### Alexander A. Kiselev

- Professor of Mathematics
- 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 »

#### Anita T. Layton

- Professor in the Department of Mathematics
- Professor of Biomedical Engineering (Secondary)
- Professor in Medicine (Secondary)

**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 »

#### 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 »

#### Yingzhou Li

- Assistant Research Professor of Mathematics
- Phillip Griffiths Assistant Research Professor

#### Tau Shean Lim

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

#### Jian-Guo Liu

- Professor of Physics
- Professor of Mathematics (Joint)

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

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

#### Jianfeng Lu

- Associate Professor of Mathematics
- Associate Professor of Physics (Secondary)
- Associate Professor of Chemistry (Secondary)

**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 »

#### Yulong Lu

- Assistant Research Professor of Mathematics
- Phillip Griffiths Assistant Research Professor

**Office Hours: **
Monday 4-5pm
Thursday 12-1pm

My research interests include applied probability, statistics, inverse problems and PDEs. full profile »

#### Jonathan Christopher Mattingly

- Professor of Mathematics
- Chair of the Department of Mathematics
- Professor of Statistical Science (Secondary)

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 »

#### Xavier Mela

- Lecturing Fellow of Mathematics

**Office: **117 Physics Bldg Science Dr, Durham, NC 27708

**Office Hours: **(Summer) Tu,We,Th,Fr 10:15am-11:00am

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

#### 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 Statistical Science
- Professor in the Department of Computer Science (Secondary)
- Professor of Mathematics (Joint)

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

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

#### Ziva K. Myer

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

**Office: **Rm 114 Physics Building, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-6979

#### Akos Nagy

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

**Office: **184 Physics Buidling, Durham, NC 27708

**Office Hours: **Monday 10am-11am and Wednesday 3pm-4pm

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

#### Lenhard Lee Ng

- Professor of Mathematics
- 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 »

#### 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 »

#### Saulo Orizaga

- Assistant Research Professor of Mathematics
- Phillip Griffiths Assistant Research Professor

#### 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

- Professor of Mathematics
- Dean of Academic Affairs of Trinity College of Arts and Sciences
- Associate Vice Provost for Undergraduate Education
- Professor of Physics (Secondary)
- Professor of Economics (Secondary)
- Bass Fellow
- 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 in the Department of Electrical and Computer Engineering
- Associate Professor of Mathematics (Secondary)

**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 »

#### Lillian Beatrix Pierce

- Associate Professor of Mathematics
- 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

#### M. Ronen Plesser

- Professor of Physics
- Professor in the Program in Education (Secondary)
- Professor in the Department of Mathematics (Secondary)

**Office: **245 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 660-9668

My research is in String Theory, the most ambitious attempt yet at a comprehensive theory of the fundamental structure of the universe. In some (rather imprecise) sense, string theory replaces the... full profile »

#### Aaron Pollack

- Assistant Professor of Mathematics

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

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

#### Amanda Randles

- Assistant Professor of Biomedical Engineering
- Assistant Professor in the Department of Mechanical Engineering and Material Science (Secondary)
- Member of the Duke Cancer Institute
- Assistant Professor of Computer Science (Secondary)
- Assistant Professor of Mathematics (Secondary)
- Alfred Winborne and Victoria Stover Mordecai Assistant Professor of Biomedical Sciences

**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
- Bass Fellow
- Arts & Sciences Professor

**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 »

#### Cynthia D. Rudin

- Associate Professor of Computer Science
- Associate Professor of Electrical and Computer Engineering (Joint)
- Associate Professor of Mathematics (Secondary)
- Associate Professor of Statistical Science (Secondary)

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 »

#### 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 »

#### Guillermo Sapiro

- Professor of Electrical and Computer Engineering
- Faculty Network Member of the Duke Institute for Brain Sciences
- Professor of Mathematics (Secondary)
- Professor of Computer Science (Secondary)
- Edmund T. Pratt, Jr. School Professor of Electrical and Computer Engineering

**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 »

#### 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 »

#### Sarah Schott

- Assistant Professor of the Practice of Mathematics
- Associate Director of Undergraduate Studies of Mathematics

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

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

#### 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 »

#### Vahid Tarokh

- Professor of Electrical and Computer Engineering
- Professor of Mathematics (Secondary)
- Professor of Computer Science (Secondary)
- Rhodes Family Professor of Electrical and Computer Engineering

A pioneer in communications and signal processing, Vahid Tarokh helped invent the space-time codes that provide signal redundancy during data transmission and are now used in most cellular phones,... full profile »

#### Caroline Turnage-Butterbaugh

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

#### Stephanos Venakides

- Professor of Mathematics

**Office: **104 Physics Bldg, Durham, NC 27708

**Office Hours: **Tuesday and Thursday 3:00-4:00pm

**Phone: **(919) 660-2815

Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission... full profile »

#### Alexander Watson

- Assistant Research Professor of Mathematics
- William W. Elliott Assistant Research Professor

#### Thomas Peter Witelski

- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)

**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 »

#### Jeffrey T Wong

- Assistant Research Professor of Mathematics
- Phillip Griffiths Assistant Research Professor

#### Hau-Tieng Wu

- Associate Professor of Mathematics
- Associate Professor of Statistical Science (Joint)

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

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