# Faculty

#### Pankaj K. Agarwal

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

**Office: **D214A Lev Sci Res Ctr, Durham, NC 27708

**Phone: **(919) 660-6540

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

#### Alessandro Arlotto

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

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 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 in the Department of Mathematics

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

**Office Hours: **Office hours: Tuesdays 11am-1pmCalculus Help Room: Tuesdays 3-5pm

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

#### Paul L Bendich

- Assistant Research Professor in the Department of Mathematics
- Assistant Director of Curricular Engagement of the Information Initiative at Duke

**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

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

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

#### 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

- Philip 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

I'm interested in the geometry of partial differential equations (as always), but, more specifically, I have been thinking about conservation laws for PDE, Finsler geometry, calibrations, holonomy,... full profile »

#### Robert Calderbank

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

- Scholar In Residence of Mathematics

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

#### 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)

#### John Everett Dolbow

- Professor of Civil and Environmental Engineering
- Professor in the Department of Mathematics (Secondary)
- Faculty Network Member of The Energy Initiative
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
- Bass Fellow

**Office: **172 Hudson Hall, Durham, NC 27708

**Phone: **(919) 660-5202

Professor John E. Dolbow came to Duke University from Northwestern University, where he received an MS and PhD in Theoretical and Applied Mechanics. During the course of his graduate study, John was... full profile »

#### David B. Dunson

- Arts and Sciences Professor of Statistical Science
- Professor of Statistical Science
- Professor in the Department of Electrical and Computer Engineering (Secondary)
- Professor in the Department of Mathematics (Secondary)
- Faculty Network Member of the Duke Institute for Brain Sciences

**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
- 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

**Office Hours: **Hours vary

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

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

#### Anita T. Layton

- Robert R. & Katherine B. Penn Professor of Mathematics
- Professor in the Department of Mathematics
- Professor of Biomedical Engineering (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

**Office Hours: **Tuesdays, 1:30-3:00 pmThursdays, 9:30-11:00 am

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

My research is in low-dimensional topology. I work primarily with Heegaard Floer homology, a powerful package of tools for studying 3- and 4-dimensional manifolds. full profile »

#### Lei Li

- William W. Elliott Assistant Research Professor
- Assistant Research Professor in the Department 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 »

#### 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)

#### Ezra Miller

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

**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 (Secondary)

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

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

#### Ziva K. Myer

- Assistant Research Professor of Mathematics

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

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

#### Lenhard Lee Ng

- Eads Family Professor
- Professor of Mathematics

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

**Office Hours: **Fall 2017:
Mondays 10:30-12:00
Tuesdays 2:45-3:45
Fridays 1:00-2:00
and by appointment.

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

#### James H. Nolen

- Associate Professor of Mathematics

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

**Office Hours: **Mondays, 1-2:30Wednesdays, 10:30-12

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

I study partial differential equations, which have been used to model many phenomena in the natural sciences and engineering. In many cases, the parameters for such equations are known only... 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
- Dean of Academic Affairs of Trinity College of Arts and Sciences
- Associate Vice Provost for Undergraduate Education
- Professor of Mathematics
- Professor of Economics (Secondary)
- Professor of Physics (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 »

#### 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

- Assistant Professor in the Department of Mathematics

**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 Department of Mathematics (Secondary)
- Professor in the Program in Education (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 139, 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)
- Assistant Professor of Computer Science (Secondary)
- Assistant Professor of Mathematics (Secondary)
- Member of the Duke Cancer Institute

**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

**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 and electrical and computer engineering at Duke University, and directs the Prediction Analysis Lab. Her interests are in machine learning... full profile »

#### Leslie Saper

- Professor of Mathematics
- Director of Undergraduate Studies in the Department of Mathematics

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

**Office Hours: **Mondays, 11:00 - 12:00, Wednesdays 2:00 - 3:00, Fridays, 1:00 - 2:00, 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

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

**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

**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, and physics. In recent work, Professor Stern has studied analytical, geometric, and... full profile »

#### Caroline Turnage-Butterbaugh

- William W. Elliott Assistant Research Professor
- Assist Research Professor in the Department of Mathematics

#### Stephanos Venakides

- Professor of Mathematics

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

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

Integrable Systems Integrable systems mostly consist of families of nonlinear differential equations (ordinary and partial) that can be solved (integrated) in explicit ways through the general... full profile »

#### 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

**Office Hours: **Mondays 10:00am-noon and Tuesdays noon-2:30pm

**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 »