- Algebra and Algebraic Geometry
- Analysis
- Applied Mathematics
- Combinatorics
- Computer Science
- Differential Equations
- Financial and Actuarial Mathematics
- Geometry & Topology
- Logic and Foundations
- Mathematical Biology
- Mathematical Physics
- Mathematics Education
- Number Theory
- Probability Theory
- Scientific Computing
- Research Training Grant
- Named Postdoctoral Fellows

### Courses

Each year the department offers four undergraduate courses and nine graduate courses in geometry and topology.

The undergraduate courses,

• Math 433 Introduction to Differential Geometry

• Math 490 Introduction to Topology

are largely taken by undergraduate concentrators in Mathematics, Natural Sciences and Engineering.

The undergraduate courses,

• Math 531 Transformation Groups in Geometry

• Math 590 Introduction to Topology

are taken by undergraduate concentrators in Mathematics, Natural Sciences and Engineering and also by graduate students, usually from departments other than the Mathematics Department. There is a 4 semester sequence of introductory graduate courses in geometry and topology.

• Math 591 Differentiable Manifolds

• Math 592 Introduction to Algebraic Topology

• Math 635 Differential Geometry

• Math 695 Algebraic Topology I

Topics classes,

• Math 636 Topics in Differential Geometry

• Math 696 Topics in Algebraic Topology

• Math 697 Topics in Topology

are offered. Usually, each year Math 636 and 697 are offered twice, and Math 696 is offered once. Occasional topics courses with other numbers are also offered. Recent topics include:

• Introduction to Rigidity Theory (W17, Spatzier)

• Quiver Varieties (W17, Ruan)

• Dynamics and geometry (F16, Spatzier)

• Equivariant Algebraic Topology (F16, Kriz)

• Introduction to Riemann Surfaces (F16, Ji)

• Symplectic Geometry and Integrable Systems (W16, Burns)

• Teichmuller Space vs Symmetric Space (W16, Ji)

• Dynamics and geometry (F15, Spatzier)

• Teichmuller Theory and its Generalizations (F15, Canary)

#### Seminars

The geometry/topology group has four seminars held weekly during the Fall and Winter terms. These are the Geometry Seminar, Topology Seminar, RTG Seminar and Complex Dynamics Seminar. These are informal forums which welcome talks on any topic of geometric interest. Participants include mathematics faculty and graduate students. The schedules are available by cllicking on the name of the appropriate seminar.

Current Thesis Students (Advisor)

R. Chen (Kriz), M. Gill (Kriz), M. Greenfield (Ji), D. Irvine (Burns), J. Kilgore (Ji), R. Mi (Ruan), S. Pinella (Spatzier), J. Powell (Koch), P. Satpathy (Ji), Y. Shelah (Koch), S. Siddiqi (Spatzier), R. Webb (Ruan), M. Zhang (Ruan), F. Zhu (Canary).

Below is a list of recent graduates in geometry/topology. For a complete list of all recent graduates in mathematics, click here.

#### Recent Graduates

• **Dondi Ellis**

Dissertation: Motivic Analogues of MO and MSO

Advisor: Igor Kriz, 2017

First Position:

• **Rohini Ramadas**

Dissertation: Dynamics on the Moduli Space of Pointed Rational Curves

Advisor: Sarah Koch and David Speyer, 2017

First Position: Harvard University

• **Andrew Schaug**

Dissertation: Dualities Arising from Borcea-Voisin Threefolds

Advisor: Yongbin Ruan, 2017

First Position: EY's Financial Advisory Office in New York

• **Robert Silversmith**

Dissertation: Mirror Theorem For Symmetric Products of Projective Space

Advisor: Yongbin Ruan, 2017

First Position: Simons Center in NY

• **David Renardy**

Dissertation: Bumping in Deformation Spaces of Hyperbolic 3-manifolds with Compressible Boundary

Advisor: Dick Canary, 2016

First Position: Invincea Labs

• **Pedro Acosta**

Dissertation: A General Landau-Ginzburg/Gromov-Witten Correspondence

Advisor: Yongbin Ruan, 2015

First Position: University of Minnesota

• **Russell Ricks**

Dissertation: Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces

Advisor: Ralf Spatzier, 2015

First Position: Binghamton University

• **Brandon Seward**

Dissertation: Krieger's finite generator theorem for ergodic actions of countable groups

Advisor: Ralf Spatzier, 2015

First Position: Hebrew University of Jerusalem

• **Tengren Zhang**

Dissertation: Degeneration of Hitchin Representations

Advisor: Dick Canary, 2015

First Position: California Institute of Technology

• **Emily Clader**

Dissertation: The Landau-Ginzburg/Calabi-Yau correspondence for certain complete intersections

Advisor: Yongbin Ruan, 2014

First Position: ETH Zurich

• **Bich (Becky) Hoai**

Dissertation: On Symplectic Invariants Associated to Zoll Manifolds

Advisor: Dan Burns, 2014

First Position: Federal Reserve Bank of St. Louis

• **Kin Kwan Leung**

Dissertation: omplex Geometric Invariants Associated to Zoll Manifolds

Advisor: Dan Burns, 2014

First Position: University of Toronto

• **Nathan Priddis**

Dissertation: A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic

Advisor: Yongbin Ruan, 2014

First Position: Leibniz Universitaet Hannover

• **Geoffrey Scott**

Dissertation: Torus Actions and Singularities in Symplectic Geometry

Advisor: Dan Burns, 2014

First Position: University of Toronto

• **Andrew Zimmer**

Dissertation: Rigidity in Complex Projective Space

Advisor: Ralf Spatzier, 2014

First Position: University of Chicago

• **William Abram**

Dissertation: Equivariant Complex Cobordism

Advisor: Igor Kriz, 2013

First Position: Hillsdale College

• **Jeffrey Meyer**

Dissertation: On the Totally Geodesic Commensurability Spectrum of an Arithmetic Locally Symmetric Spaces

Advisor: Ralf Spatzier and Matthew Stover, 2013

First Position: University of Oklahoma

• **Yefeng Shen**

Dissertation: Gromov-Witten theory of elliptic orbifold projective lines

Advisor: Yongbin Ruan, 2013

First Position: Kavli IPMU

• **Mark Shoemaker**

Dissertation: Mirror Theorem for the Mirror Quintic

Advisor: Yongbin Ruan, 2013

First Position: University of Utah

• **Jordan Watkins**

Dissertation: The Rank Rigidity Theorem for Manifolds with No Focal Points

Advisor: Ralf Spatzier, 2013

First Position: