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
- Director of Undergraduate Studies in the Department 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

- 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

**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 Rhodes Information Initiative at Duke
- Professor of Electrical and Computer Engineering (Joint)
- Professor of Mathematics (Joint)

**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

#### Xiuyuan Cheng

- Assistant Professor of Mathematics

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

**Research Areas**

Analysis, Computational Mathematics, 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

- Associate Professor of Mathematics

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

**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
- Managing Editor of the Duke Mathematical Journal

**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

#### Alexander A. Kiselev

- William T. Laprade Professor of Mathematics
- Professor of Mathematics

**Research Areas**

Analysis, Biological Modeling, Mathematical Physics, PDE & Dynamical Systems

#### Adam S. Levine

- Assistant Professor of Mathematics

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

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

**Research Areas**

Topology

#### 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)

**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

- James B. Duke Professor
- Professor of Mathematics
- Chair of the Department of Mathematics

**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: **Spring 2019 (tentative):
Mondays 2:00-3:00
Thursdays 2:45-3:45
and by appointment.

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

**Research Areas**

Geometry: Differential & Algebraic, Mathematical Physics, Topology

#### James H. Nolen

- Associate Professor of Mathematics

**Office: **029C Physics Bldg, Durham, NC 27708

**Office Hours: **Mondays 1:30-3:00pmTuesdays 3:30-5:00pm

**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
- Professor of Mathematics
- Associate Vice Provost for Undergraduate Education
- Dean of Academic Affairs of Trinity College of Arts and Sciences
- 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

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

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

**Research Areas**

Analysis, Number Theory

#### 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

**Research Areas**

Analysis, Biological Modeling, PDE & Dynamical Systems

#### Colleen M Robles

- Associate Professor in the Department of Mathematics
- Director of Graduate Studies in the Department of Mathematics

**Office Hours: **Office hours.

**Research Areas**

Geometry: Differential & Algebraic

#### Marc Daniel Ryser

- Assistant Professor in Population Health Sciences
- Instructor in the Department of Mathematics (Joint)
- Assistant Professor of Mathematics (Joint)
- Member of the Duke Cancer Institute

**Office: **299B Physics Bldg, 120 Science Drive, Durham, NC 27708

**Phone: **(919) 684-8294

**Research Areas**

Biological Modeling, Probability

#### Leslie Saper

- Professor of Mathematics

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

**Office Hours: **Mondays 11:00 am – 12:00 noon, Wednesdays 2:00 pm – 3:00 pm, Thursdays 11:00 am – 12:00 noon, 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, 120 Science Drive Box 90320, Durham, NC 27708

**Office Hours: **Monday 11-12 and Friday 11-12 or by appointment

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

**Research Areas**

Algebra & Combinatorics, Geometry: Differential & Algebraic

#### Mark A. Stern

- Professor of Mathematics

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

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

**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

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

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

**Research Areas**

Analysis, Biological Modeling, Mathematical Physics, PDE & Dynamical Systems, Physical Modeling

#### Thomas P. 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

**Research Areas**

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

#### 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

**Research Areas**

Analysis, Biological Modeling, Geometry: Differential & Algebraic, Probability, Signals, Images & Data

## 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

#### David B. Dunson

- Arts and Sciences Professor of Statistical Science
- Professor of Statistical Science
- 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

**Research Areas**

Probability, Signals, Images & Data

#### Sayan Mukherjee

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