# Primary Faculty

#### Tori 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 »

#### Paul Stephen Aspinwall

- Professor of Mathematics
- Professor of Physics (Secondary)

**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

- Associate Research Professor 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

- Phillip Griffiths Professor of Mathematics
- Professor in the Department 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

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

**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 »

#### Samit Dasgupta

- Professor of Mathematics

My research is in algebraic number theory, specifically the explicit construction of units in number fields and points on abelian varieties. There are many classical conjectures regarding the... full profile »

#### Ingrid Daubechies

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

#### Rick Timothy Durrett

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

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

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

#### Nadav Dym

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

#### 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
- Managing Editor of the Duke Mathematical Journal

**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 »

#### Siming He

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

**Office: **Rm 117 Physics Bldg, 120 Science Drive Box 90320, Durham, NC 27708

#### Gregory Joseph Herschlag

- Assistant Research 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 »

#### Matthew S Junge

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

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics
- 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 »

#### Shahar Kovalsky

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

#### Anita T. Layton

- Bass Fellow
- 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 »

#### Spencer Leslie

- Assistant Research Professor of Mathematics

**Office: **Rm 222 Physics Building, Durham, NC 27708

**Phone: **(919) 660-2878

#### 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

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

#### Tau Shean Lim

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

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

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

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

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

#### Mauro Maggioni

- Research Professor of Mathematics

**Office: **117 Physics Bldg, Office #293, Durham, NC 27708

**Phone: **(919) 660-2825

I am interested in novel constructions inspired by classical harmonic analysis that allow to analyse the geometry of manifolds and graphs and functions on such structures. These constructions are... 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 of Mathematics (Joint)
- Professor in the Department of Computer Science (Secondary)

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

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

#### Ziva K. Myer

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

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

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

#### Akos Nagy

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

**Office: **108 Physics Buidling, Durham, NC 27708

**Office Hours: **Wednesdays and Thursday, 12:45-1:45PM

**Phone: **(919) 660-2844

I work on elliptic geometric PDE's, mainly coming from low dimensional gauge theories and mathematical physics. full profile »

#### Lenhard Lee Ng

- Eads Family Professor
- Professor of Mathematics

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

**Office Hours: **Fall 2018:
Mondays 2:00-3:00
Wednesdays 3:00-4:00
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, 10:30-12:00Wednesdays, 2:00-3:30

**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

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

#### 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
- 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

**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 »

#### Lillian Beatrix Pierce

- Nicholas J. and Theresa M. Leonardy Associate Professor
- Associate Professor of Mathematics

**Office: **Duke Box 90320 120 Science Drive,, Office 215, Durham, NC 27708

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

#### Aaron Pollack

- Assistant Professor of Mathematics

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

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

#### Michael C. Reed

- Professor of Mathematics
- Arts & Sciences Professor
- Bass Fellow

**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 Daniel Ryser

- Instructor in the Department of Population Health Sciences
- Instructor in the Department of Mathematics (Joint)

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

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

#### Leslie Saper

- Professor of Mathematics

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

**Office Hours: **Mondays, 3:30 - 4:30, Tuesdays, 11:00 - 12:00, Thursdays, 3:30 - 4:30, 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: **Monday 10-11 and Friday 11-12 or by appointment

**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

**Office Hours: **Monday and Tuesday 2-3

**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 »

#### Faramarz Vafaee

- Assistant Research Professor of Mathematics

**Office: **120 Science Drive, 246 Physics Building, Durham, NC 27708

**Office Hours: **Tuesdays 5 to 7pm, or by appointment

**Phone: **(919) 660-2873

My main research interests lie in low dimensional topology and geometry. Among others, these interests include Heegaard Floer homology and its applications, Khovanov homology, contact and symplectic... full profile »

#### 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 »

#### Shira Viel

- Assistant Professor of the Practice of Mathematics

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

#### Jiuya Wang

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

#### Alex Watson

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

#### 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

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

#### 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