The people listed here are the members of the graduate faculty who are able to advise Ph.D. students.

# Graduate Program Faculty

## Core Faculty

#### Paul Stephen Aspinwall

- Professor of Mathematics
- Associate Chair of the Department 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

**Research Areas**

Geometry: Differential & Algebraic, Mathematical Physics

#### J. Thomas Beale

- Professor Emeritus of Mathematics

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

**Office Hours: **by appointment.

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

**Research Areas**

Analysis, Computational Mathematics, PDE & Dynamical Systems, Physical Modeling

#### 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

**Research Areas**

Geometry: Differential & Algebraic, Mathematical Physics

#### 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

**Research Areas**

Algebra & Combinatorics, Analysis, Computational Mathematics, Geometry: Differential & Algebraic, Mathematical Physics, PDE & Dynamical Systems, Topology

#### 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

**Research Areas**

Algebra & Combinatorics, Analysis, Computational Mathematics, Number Theory, Physical Modeling, Probability, Signals, Images & Data

#### 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)

**Research Areas**

Analysis, Biological Modeling, Computational Mathematics, Geometry: Differential & Algebraic, Mathematical Physics, Signals, Images & Data

#### 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

**Research Areas**

Biological Modeling, Probability

#### Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

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

**Office Hours: **Hours vary

**Research Areas**

Algebra & Combinatorics, Analysis, Geometry: Differential & Algebraic, Number Theory

#### Heekyoung Hahn

- Assistant Research Professor of Mathematics

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

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

**Research Areas**

Algebra & Combinatorics, Analysis, Geometry: Differential & Algebraic, Number Theory

#### Richard Hain

- Professor of Mathematics

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

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

**Research Areas**

Algebra & Combinatorics, Geometry: Differential & Algebraic, Number Theory, Topology

#### John Harer

- Professor of Mathematics

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

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

**Research Areas**

Biological Modeling, Computational Mathematics, Signals, Images & Data, Topology

#### David P. Kraines

- Associate Professor Emeritus of Mathematics

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

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

**Research Areas**

Biological Modeling, Topology

#### 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

**Research Areas**

Biological Modeling, Computational Mathematics, PDE & Dynamical Systems

#### Harold Layton

- Professor of Mathematics

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

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

**Research Areas**

Biological Modeling

#### Jian-Guo Liu

- Professor of Physics
- Professor of Mathematics (Joint)

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

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

**Research Areas**

Analysis, Computational Mathematics, PDE & Dynamical Systems

#### 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

**Research Areas**

Analysis, Computational Mathematics, Mathematical Physics, PDE & Dynamical Systems, Physical Modeling, Probability, Signals, Images & Data

#### Jonathan Christopher Mattingly

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

**Research Areas**

Analysis, Biological Modeling, Computational Mathematics, PDE & Dynamical Systems, Physical Modeling, Probability

#### 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

**Research Areas**

Algebra & Combinatorics, Biological Modeling, Geometry: Differential & Algebraic, Probability, Signals, Images & Data, Topology

#### 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

**Research Areas**

Geometry: Differential & Algebraic, Mathematical Physics, Topology

#### 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

**Research Areas**

Analysis, Biological Modeling, PDE & Dynamical Systems, Physical Modeling, Probability

#### 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

**Research Areas**

Algebra & Combinatorics, Analysis, Geometry: Differential & Algebraic, Number Theory, Topology

#### 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

**Research Areas**

Geometry: Differential & Algebraic, Mathematical Physics, PDE & Dynamical Systems, Physical Modeling, Probability, Signals, Images & Data, Topology

#### 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

**Research Areas**

Analysis, Number Theory

#### Michael C. Reed

- Professor of Mathematics
- Bass Fellow

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

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

**Research Areas**

Analysis, Biological Modeling

#### Colleen M Robles

- Associate Professor in the Department of Mathematics

**Office Hours: **Office hours.

**Research Areas**

Geometry: Differential & Algebraic

#### 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

**Research Areas**

Algebra & Combinatorics, Geometry: Differential & Algebraic, Number Theory, Topology

#### 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

**Research Areas**

Algebra & Combinatorics, Geometry: Differential & Algebraic

#### Mark A. Stern

- Professor of Mathematics

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

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

**Research Areas**

Analysis, Geometry: Differential & Algebraic, Mathematical Physics, PDE & Dynamical Systems, Topology

#### Stephanos Venakides

- Professor of Mathematics

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

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

#### 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

**Research Areas**

Analysis, Computational Mathematics, PDE & Dynamical Systems, Physical Modeling

## In Other Departments

#### Pankaj K. Agarwal

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

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

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

**Research Areas**

Algebra & Combinatorics, Computational Mathematics

#### John Everett Dolbow

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

**Office: **121 Hudson Hall, Box 90287, Durham, NC 27708

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

**Research Areas**

PDE & Dynamical Systems, Physical Modeling

#### David B. Dunson

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

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

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

**Research Areas**

Probability, Signals, Images & Data

#### 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

**Research Areas**

Biological Modeling, Computational Mathematics, Geometry: Differential & Algebraic, PDE & Dynamical Systems, Probability, Signals, Images & Data, Topology