## Recent Rice Ph.D.'s in Mathematics

(Alumni/ae, please e-mail corrections and updates to hausman@rice.edu**.)**

The Department also maintains a more complete list of our graduate alumni.

**Year of Ph.D.:**

**Graduate **Previous degrees

*Thesis Title*

Positions after graduation

*(Note: to help protect privacy, some positions after graduation are not
listed.)*

**2017**:

**Anthony Bosman**, *BS Stanford University
Shake Slice and Shake Concordant Links*

Assistant Professor, Andrews University

**Corey Bregman**, *BA Columbia University
Automorphisms of nonpositively curved cube complexes, right-angled Artin groups, and homology*

Post Doc, Brandeis University

**Tam Do**, *BS University of Washington
Global Regularity and Finite-time Blow-up in Model Fluid Equations*

**Carol Ann Downes**, *BS Westmont College
A Mass Minimizing Flow for Real-Valued Flat Chains with Applications to Transport Networks*

Hendrix college

**Junghwan Park**, *BS Pohang University of Science and Technology (Korea)
Derivatives of genus one and three knots*

Post Doc, Max Planck Institute, Bonn

**2016**:

**Derek Allums**, *BS Texas A&M University
Notes on Real Rationally Connected Varieties and Fano Threefolds of Genus 12*

Data Scientist, Abdiel Capital, New York

**Jorge Acosta**, *BS University of Texas at Austin
Holonomy Limits of Cyclic Opers*

Lecturer, Department of Mathematics, Stanford University

**Natalie Durgin**, *BS Harvey Mudd College
Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane*

Analytics Developer, Spiceworks

**Quentin Funk**, *BS Trinity University
Two Variants on the Plateau Problem*

Database Analyst, Houston Methodist Hospital

**Andy Huang**, *BS University of California, Davis
Handle crushing harmonic maps between surfaces*

Post Doc, Sandia National Laboratory

**Kenan Ince**, *BA Austin College
The untwisting number of a knot*

Assistant Professor of Mathematics, Westminster College

**Katherine Vance**, *BA Columbia University
Tau invariants of spatial graphs*

Assistant Professor of Mathematics, Simpson College

**2015**:

**David Cohen**, *BS University of Chicago
The large scale geometry of strongly aperiodic subshifts of finite type*

NSF Postdoc Research Fellowship, University of Chicago

**Jacob Fillman**, *BS Baylor University
Spectral Analysis of One-Dimensional Operators*

Post Doc, Virginia Tech

**Nikita Kozin**, *BS Samara State Aerospace University
Toric fibrations and models of universal torsors*

Algorithmic trader, Transmarket Group

**Qiongling Li**, *BS Nankai University
Hitchin components, Riemannian Metric and Asymptotics*

Post Doc, Caltech-QGM

**Diego Vela**, *BS University of Michigan
Infection by a String Link*

Post Doc, University of Victoria

**2014**:

**James Cooper**, *BS, University of Texas at Austin
Two mod-p Johnson filtrations*

Senior Knowledge Engineer at Reasoning Mind

**Paul Munger**, *BA, Rice University
Spectral Regularity in Some Models of Aperiodic Order*

**Darren Ong**,* BS, Texas Christian University
Spectral characteristics of aperiodic CMV and Schroedinger operators
*Associate Professor of Mathematics, Xiamen University Malaysia Campus

**Arunima Ray**, BA, *State University of New York at Geneseo
Casson towers and filtrations of the smooth knot concordance group
*Instructor at Brandeis University

**Letao Zhang**, *BS, Nanjing University
Deformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory
*Simons Instructor at Stony Brook University

**2013:**

**Taylor Martin**, *BS, University of Rochester
Lower order solvabilty of links*

Assistant Professor (tenure track), Sam Houston State University

**Reagin McNeill**, *BA, Smith College
A new filtration of the Magnus kernel*

Assistant Professor (tenure track), University of Evansville

**2012:**

**Colin Carroll**, *BS, Williams College
Minimizers of the vector-valued coarea formula*

Analytics Developer, Spiceworks

**Christopher Davis**, *BS, Westminister College
First Order Invariants and Linear Independence ie the Concordance Group*

Zassenhaus Assistant Professor, Ohio State University

**Bridget Franklin**, *BS, University of Kansas
The Effect of Infecting Curves on Knot Concordance*

Consultant, Boston Consulting Group

**Zheng Gan**,* BS, University of Science and Technology, China.
Spectral Properties of Limit-Periodic Schröder Operators*

Seismic data analyst, CGG Veritas

**Evelyn Lamb**, *BS, University of North Texas
Harmonic Maps and the Indiscrete Components of the Representation Space*

Post Doc, University of Utah

**Renee Laverdiere**, *BS, Holy Cross College
Behavior of the Geodesic Length Function on Grafting Rays*

Consultant, Boston Consulting Group

**Zhiyuan Li**, *BS, University of Science and Technology, China
Rational Points on K3 Surfaces over Function Field of Complex Curve*

Szegö Assistant Professor, Stanford University

**Fei Xu**, *BS, University of Science and Technology, China
On the Smooth Linear Section of the Grassmannian Gr(2,n)*

Wells Fargo, Dalles, TX

**2011:**

**Janine Dahl**, *B.A. St. Olaf College
The Spectrum of the Off-diagonal Fibonacci Operator
*Faculty, Inver Hills Community College, Inver Grove Heights, MN

**Jon Fickenscher**, *B.S. University of Texas at Dallas*

*Self-Inverses in Rauzy Classes*

Instructor, Princeton University

**Thomas McGaffey**, *B.A. Rice University
Regularity and nearness theorems for families of local Lie groups*

Instructor, San Jacinto Junior college

**Shuijing Li**,* B.S. Univ. of Sci & Tech of China
Rational points on del Pezzo surfaces of degree 1 and 2*

R&D engineer in the Intelligent Production System Department, Baker-Hughes

**Carolyn Otto**, *B.S. University of Wisconsin-Eau Claire
The (n)-Solvable Filtration of the Link Concordance Group and Milnor's Invariants*

Tenure-track faculty, University of Wisconsin-Eau Claire

**Ryan Scott**, *B.S. (Mathematics) and B.S. (Physics) Oklahoma State University
Minimizing the mass of the codimension two skeleton for unit volume convex polyhedra*

VIGRE Postdoctoral Fellow, University of Georgia

**2010**:

**Jon Chaika**, *B.S. University of Iowa
Interval Exchange Transformations: Topological mixing, Hausdorff dimensions for ergodic measures and disjointness
*National Science Foundation Postdoctoral Fellow, University of Chicago

Andrew Elliott, B.A. Rice University, M.A. UCLA

State Cycles, Quasipositive Modification, and Constructing H-Thick Knots in Khovanov Homology

Applied Research Mathematician, Department of Defense

**Helge Krüger**, *M.S. University of Vienna
Positive Lyapunov Exponent for Ergodic Schrödinger Operators*

Simons Foundation Fellow in Theoretical Physics, California Institute of Technology

Karoline Pershell Null, B.S. University of Tennessee, Martin

Some conditions for recognizing a 3-manifold group

Assistant Professor, University of Tennessee, Martin

### 2009:

Casey Douglas, B.A. Southwestern University

Perturbed Genus One Scherk Surfaces and their Limits

Tenure track Assistant Professor, St. Mary's College of Maryland

Ryan Dunning, B.S. Texas Christian University, M.A. Rice University

Asymptotics Under Self-Intersection for Minimizers of Self-Avoiding Energies

Assistant Professor of Mathematics, St. Mary's University, San Antonio, TX

Heather Hardway, B.S. University of Central Oklahoma

Pattern Formation in Systems of Reaction Diffusion Equations Modeling Genetic Networks

Postdoctoral Fellow, Boston University

Peter Horn, B.A. Hendrix College, M.A. Rice University

Higher-order Analogues of Genus and Slice Genus of Classical Knots

National Science Foundation Postdoctoral Fellow, Columbia University, webpage

Matthew McLelland, B.S. University of Texas at Dallas

Deformation of Symmetric Scherk Type Minimal Surfaces

### 2008:

**Landon Jennings*** B.A. Rice University*

Sufficient Conditions for Hamiltonian Paths

Mathematics Division Chair, Northeast Christian Academy, Houston

**Jamie Jorgensen*** B.S. Mathematics Utah State University, B.S. Physics Utah State University*

*Surface Homeomorphisms that do not Extend to Any Handlebody and the Johnson Filtration*

Applied Research Mathematician, Department of Defense

David Ralston * B.A. Mathematics Yale University, B.A. Music Yale University*

Heaviness: An Extension of a Lemma of Yuval Peres

Postdoctoral Researcher, Ben Gurion University of the Negev, Beer Sheva, Israel

**Matthew Simpson*** B.A. Haverford College*

*On Log Canonical Models of the Moduli Space of Stable Pointed Genus Zero Curves*

University of Michigan, Ann Arbor, Assistant Professor of Mathematics

### 2007:

**Jer-Chin (Luke) Chuang*** B.S. Furman University *

*Transgressive Chains, Harmonic Cycles, and Subdivisions *

Assistant Professor, Georgia College and State University

**Amanda Knecht*** B.S. Texas Christian University *

*Weak Approximation for Degree Two del Pezzo Surfaces at Places of Bad Reduction*

RTG Assistant Professor, University of Michigan

**Eric Samansky*** B.S. Haverford College *

*Convergence of Gibbs Measures and the Behavior of Shrinking Tubular Neighborhoods of Fractals and Algebraic Sets.*

Assistant Professor, Nova Southeastern University

**Soomin Kim*** B.S. Korea University *

* Limits of Minimal Surfaces with Increasing Genus *

Visiting Assistant Professor, Purdue University

Assistant Professor, Johns Hopkins University, Fall 2008

**Wei Zhu*** B.S. University of Science and Technology, China *

* Minimizing and flow problems for multiple-valued functions and maps. *

Postdoctoral position at ETH Zurich, webpage

Assistant Professor, University of Notre Dame, Fall 2008

### 2006:

** James Peterson**

* Coordinate Scans, Compactness Properties, and Area Minimization. *

Assistant Professor, Benedictine College, Kansas

** Yue Wu**

* Applications of Rauzy Induction on the Generic Ergodic Theory of Exchange Transformations.*
Financial Analyst, TPR Associates, The Woodlands, TX.

**2005:**

**Zheng Meng*** B.S., M.S. Shanghai University *

*Geometric Variational Problems with Cross-sectional Constraints*

Junior Seismic Imaging Geophysicist, Veritas DGC, Houston

**Aaron Trout*** *

*Spaces with Positive Combinatorial Curvature*

Assistant Professor, Chatham University,
Pittsburg, PA

**Jun Zhang*** *

*Geometric Compactification of Moduli Space of Cubic Surfaces and Kirwan
Blowups*

Medical statistician, University of Chicago

**2004:**

**Carol Gwosdz-Gee*** *B.S. University of Dallas

*Strong S-equivalence of Ordered Links*

Visiting Research Assistant Professor, UC Davis

Assistant Professor, St. Edward's University, Austin, TX

**Aaron
Heap*** *B.S. Texas Christian University

*Bordism Invariants of the Mapping Class Group*

Assistant Professor, SUNY Geneseo

**Connie Leidy*** *B.S. Tulane University

*Higher-Order Lingking Forms*

Rademacher Instructor, University of Pennsylvania

Assistant Professor, Wesleyan University

**2003:**

**Christopher Earles*** *B.S., M.S. Idaho State
University

*Partial Umbilics of Hypersurfaces and Repeated Eigenvalue
Currents*

Assistant Professor, Bethel College

**Zheng Huang*** *B.S., M.S. University of Sci & Tech of
China

*Harmonic Maps and the Geometry of Teichmuller Space*

Assistant Professor CUNY, Staten Island, NY

**Robert Huff*** *B.S. Harding University

*Flat Structures, Soap Films, and Capillary Surfaces*

Assistant Professor, University of Indiana, South Bend

**Tatiana Marinenko*** *Diploma, Summa Cum Laude, Herzen
Russian Pedagogical University

*High Distance Splittings of 3-manifolds*

Assistant Professor, University of Auckland

**2002:**

**Scott Berger *** *B.S. Princeton University

*Edge Length Minimizing Polyhedra *

Consultant, Houston, TX

**Shelly Harvey*** *B.S. California Polytechnic State
University -- San Luis Obispo

*Higher-Order Polynomial Invariants of 3-Manifolds Giving Lower
Bounds for the Thurston Norm*

Associate Professor, Rice University

**Simon
Morgan*** *B.A., NST, Diplom. King's College,
Cambridge University

*Minimizers in Polyhedral Spaces*

Postdoctoral Fellow, Los Alamos National Laboratories

Assistant Professor, University of Minnesota

**Qinglan Xia*** *B.S. Anhui Normal University, M.S.
University of Science and Technology of China

*Variational Problems in Intersection Homology Theory and Optimal
Transport*

Assistant Professor, University of California at Davis

**2001:**

**Amy Bellis*** *B.A. College of Wooster

*Using Complexity Bounds to Study Positive Heegaard
Diagrams of Genus Two*

**Gregory Clark*** *B.S. Brown University, M.S.
Texas A&M University

*Stable Homotopy Invariance of Teichner's sec Invariant*

Instructor, Rice University

National Security Agency

**Katherine Crowley*** *B.A. St. Olaf College

*Discrete Morse Theory and the Geometry of Nonpositively
Curved Simplicial Complexes*

Assistant Professor, St. Olaf College

Assistant Professor, Washington and Lee University

**Amy Lampazzi*** *B.S. University of Missouri,
M.S. University of Houston

*Divisibility of the Conway Polynomial of Links*

Lecturer, University of Houston - Clear Lake

**Chun-Chi Lin*** *B.S., M.S. National Taiwan
University

*Variational Problems with Multiple-Valued Functions and
Mappings*

Postdoctoral Fellow, Max Planck Institute, Leipzig

Associate Professor, National Taiwan Normal University, Taipei,

Taiwan

**2000:**

**Sanford Ganzell*** *B.A. Dartmouth College

*Complexity of Exotic R4's*

Assistant Professor, Pomona College

Assistant Professor, St. Mary's College of Maryland

**Yuan Wang*** *B.S. Peking University

*Mathematical Modeling of Seismic Data: Multiscale
Noise Removal and Recognition Algorithm*

Siebel Systems, Software Engineer

**1999:**

**David
Handron*** *B.A., M.S. Dartmouth

*Generalized Billiard Paths and Morse Theory
for Manifolds with Corners*

Instructor, Carnegie Mellon University

**D. Paul Phillips** B.A. Rice University

*Inverse Spectral Problems with Incomplete Knowledge of the Spectrum*

Associate Professor, University of Dallas

**Lorette Stone*** *B.A. University of California at Berkeley,

M. A. State University of New York at Stony Brook

*Costa Cousins*

**1998:**

**Nancy Cunningham*** *B.S. Yale

*A Variational Approach to the Local Uniqueness of Immersed Minimal* *Surfaces in R3*

Cambridge Strategic Management Group

**Ashley Ledbetter*** *B.S. Wellesley College

*Energy Minimizers, Gradient Flow Solutions, and a Computational* *Investigation in the Theory of Biharmonic Maps*

Principal, MPM Capital

**Christopher Hawkins **B.S. Boston College

*A Minimization of a Curvature Functional on Fiber Bundles*

Financial Industry, New York City

**Hope McIlwain** B.S. Furman University

*Can You Hear the Size of Vertices? An Inverse Spectral Problem of* *Laplacians on Weighted Graphs*

Assistant Professor, Mercer University

**1997:**

**Igor Prokhorenkov*** *B.S. Moscow State University

*Morse-Bott Functions and the Witten Laplacian*

Postdoctoral Fellow, MSRI, Assistant Professor, Texas Christian University

**Paul Uhlig **B.S. St. Mary's University

*Extremal Eigenvalue Problems for Quasidisks and Chord-Arc Domains*

Assistant Professor, St. Mary's University

**1996:**

**Paul Bellis **B.S., College of Wooster

*Realization of Homology Boundary Links*

**Amir Gerges **B.S. New College

*Surgery, bordism, and Equivalence in 3-manifolds*

Analyst, Trilogy Corp., Houston

**Simrat Ghuman*** *B.A. San Francisco State University

*Invariants of Graphs*

**Jun Tian **B.S. Peking University

*The Mathematical Theory and Applications of Biorthogonal Coiffman* *Wavelet Systems*

Research/Development Engineer, Digimare Corp.

**Clayton Ward **B.S. U.Texas, Austin

*Fuchsian Groups and Polygonal Billiards*

National Security Agency

**Changyou Wang*** *B.S. Peking Normal, M.S. Academy Sinica

*Regularity of Minimizing Maps and Flows for Various Functionals
and* *Targets*

Professor, University of
Kentucky