# Student Topology Seminar

## Spring 2020

March 13
3:30 PM PHSC 809 |
Jordan Danser
University of Oklahoma | Intro to Ricci Solitons |

February 28
3:30 PM PHSC 809 |
Steven Lin
University of Oklahoma | Reilly's Formula and Aleksandrov Theorem |

January 31
3:30 PM PHSC 809 |
Connor Davis
| Symbolic Dynamics for the Rotation Number |

## Fall 2019

December 6
3:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Some geometry on Lie groups |

November 15
3:00 PM PHSC 809 |
Ryan Gueli
University of Oklahoma | Be More Free and Play Ping-Pong Again: the (Identical) Sequel |

October 25
3:30 PM PHSC 809 |
Andrew Lutz
University of Oklahoma | Introduction to Cohomogeneity one Manifolds and Codimension One Biquotient Foliations |

October 11
3:30 PM PHSC 809 |
Ryan Gueli
University of Oklahoma | Gueli's gameday MCG midterm |

September 27
3:30 PM PHSC 809 |
Connor Davis
| Introduction to Birdtracks |

September 13
3:30 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Some techniques to say a group is not CAT(0) |

August 30
3:30 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Attempt to get organized |

Show semesters preceding Fall 2019

## Spring 2019

April 12
2:30 PM PHSC 809 |
Ryan Gueli
University of Oklahoma | A Generalization of Surgery to Cellular Complexes |

April 5
2:30 PM PHSC 809 |
Ryan Gueli
| A Generalization of Surgery to Cellular Complexes |

March 8
2:30 PM PHSC 809 |
Steven Lin
University of Oklahoma | A Brief Introduction to Compact Riemann Surfaces II |

March 1
2:30 PM PHSC 809 |
Steven Lin
University of Oklahoma | A Brief Introduction to Compact Riemann Surfaces |

February 15
2:30 PM PHSC 809 |
Steven Lin
University of Oklahoma | A Brief Introduction to Compact Riemann Surfaces |

February 8
2:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Ricci Flow, Positive Curvature and the Maximum Principle II |

February 1
2:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Ricci Flow, Positive Curvature and the Maximum Principle |

January 25
2:30 PM PHSC 809 |
Connor Davis
University of Oklahoma | Entropy, Conjugacy and Hyperbolic Toral Automorphisms |

## Fall 2018

October 12
2:30 PM PHSC 809 |
Jordan Danser
University of Oklahoma | Basics of Tangency |

September 14
2:30 PM PHSC 809 |
Cory Wilson
University of Oklahoma | Be Our Guest!*: An Introduction to Riemannian Geometry |

September 7
2:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | 28 Bizarre Facts About Seven-Dimensional Spheres |

August 31
2:30 PM PHSC 430 |
Thomas Lane
University of Oklahoma | Some manifolds and some embeddings |

## Spring 2018

April 13
4:30PM-5:30PM PHSC 809 |
Mahesh Sunkula
University of Oklahoma | Geometric interpretation of Hamilton-Jacobi Equation |

March 9
4:30 PM PHSC 809 |
Ben Stucky
| An application of symplectic connect sum |

March 2
4:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Moment Maps in Symplectic Geometry |

February 23
4:30 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Almost complex structures |

February 16
4:30 PM PHSC 809 |
Elahe Khalili Samani
| Contact Manifolds |

February 9
4:30 PM PHSC 809 |
Cory Wilson
| Lagrangian Submanifolds |

February 2
4:30 PM PHSC 809 |
Mahesh Sunkula
University of Oklahoma | Hamiltonian Vector Fields |

January 26
4:30 PM PHSC 809 |
Tony Martino
| Symplectic geometry intro |

## Fall 2017

December 1
4:30 743 Debarr Ave #3 |
Thomas lane
University of Oklahoma | An introduction to the exotic world of manifolds |

November 10
4:30 PM PHSC 809 |
TBA
University of Oklahoma | Space-time geometry and periodic events |

November 3
4:30 PM PHSC 809 |
Connor Davis
| Return of Billiards and the puff pastry |

October 27
4:30 PM PHSC 809 |
Connor Davis
| Billiards and the puff pastry |

October 20
4:30 PM PHSC 809 |
Thomas Morgan
| On the index of $\Gamma^+(\Z/p\Z\rtimes \Z/q\Z,\pi)$ in $\text{Aut}^+(F_2)$ |

October 6
4:30 PM PHSC 809 |
Ben Stucky
| Exotic Aspherical Manifolds |

September 29
4:30 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Non-positive curvature and the Cartan-Hadamard Theorem |

September 22
4:30 PM PHSC 809 |
Cory Wilson
| Nonzero Curvature Bounds and Globalization |

September 15
4:30 PHSC 809 |
Jonathan Merlini
| Angles, triangles, and comparison theorems |

September 1
4:30 PM PHSC 809 |
Jon Epstein
University of Oklahoma | Introduction to Length Spaces |

August 1
2:45 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Invariant random subgroups |

## Spring 2017

July 25
2:45 PM PHSC 809 |
Connor Davis
University of Oklahoma | Nets and a slick proof of Tychonoff's Theorem |

July 11
2:45 PM PHSC 809 |
Thomas Lane
| Classification of (real) semisimple Lie algebras |

June 27
2:45 PM PHSC 809 |
Ben Stucky
| The Freiheitssatz Via Stackings |

June 13
2:45 PM PHSC 809 |
Mahesh Sunkula
University of Oklahoma | Introduction to Geometric Quantization |

June 6
2:45 PM PHSC 809 |
Connor Davis
| The Locus of Indifference Prices |

May 30
2:45 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Introduction to mapping class groups (of surfaces) |

May 23
2:45 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Einstein and Ricci Soliton metrics on Lie Groups |

May 16
2:45 PM PHSC 809 |
Ben Stucky
| The Freiheitssatz via Diagrams |

March 24
3:30 PM PHSC 809 |
Paul Plummer
| Something something asymptotic cones |

March 10
3:30 PM PHSC 809 |
Connor Davis
University of Oklahoma | "Main Theorem" of Convex Polytopes |

March 3
3:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | Hartnell's Firefighter Problem and Growth of Groups |

January 27
3:30 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Unicorns are slim, and arc graphs are 7-hyperbolic |

## Fall 2016

December 9
3:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | Torsion-Free One-Relator Groups are Super-Duper Torsion-Free Part 2 |

December 2
3:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | One-Relator Groups and Local Indicability OR Torsion-Free One-Relator Groups are Super-Duper Torsion-Free |

November 11
3:30 PM PHSC 809 |
Michael Tilles
University of Oklahoma | Geometry of 2- Step Nilpotent Lie Groups |

November 4
3:30 PM PHSC 809 |
Jonathan Merlini
University of Oklahoma | Toponogov's Theorem |

October 21
3:30 PM PHSC 809 |
Thomas Lane
University of Oklahoma | Lie groups, Curvature and Milnor Frames |

## Spring 2016

March 7
2:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | Quasi-Isometry Invariants and Hyperbolic Groups |

February 15
2:30 PM PHSC 809 |
Tony Martino
University of Oklahoma | Divergence of Geodesics and Quasi-isometries II |

February 8
2:30 PM PHSC 809 |
Tony Martino
University of Oklahoma | Divergence of Geodesics and Quasi-isometries |

February 1
2:30 PM PHSC 809 |
Melody Molander
University of Oklahoma | An Introduction to Hyperbolic Metric Spaces |

## Fall 2015

November 29
4:00 PM PHSC 809 |
Ben Stucky
University of Oklahoma | Introduction to Graph Folding |

November 15
4:00 PM PHSC 809 |
Connor Davis
University of Oklahoma | Hyperplane Separation of Convex Sets |

November 8
4:00 PM PHSC 809 |
Tony Martino
University of Oklahoma | Combinatorial Morse Theory II |

November 1
4:00 PM PHSC 809 |
Tony Martino
University of Oklahoma | Combinatorial Morse Theory |

October 25
4:00 PM PHSC 100 |
Ben Stucky
University of Oklahoma | Bass-Serre Theory II |

October 18
4:00 PM PHSC 809 |
Ben Stucky
University of Oklahoma | Bass-Serre Theory I |

October 11
4:00 PM PHSC 809 |
Thomas Lane
University of Oklahoma | An Introduction to Hyperbolic Groups |

September 27
4:00 PM PHSC 809 |
Paul Plummer
University of Oklahoma | Small Cancellation Theory II |

September 20
4:00 PM PHSC 809 |
Paul Plummer
| Small Cancellation Theory I |

## Spring 2015

February 5
3:00 PM PHSC 1025 |
| Homology Axioms - A Primer |

January 29
2:30 PM PHSC 1025 |
Ben Stucky
University of Oklahoma | Cellular Homology of Dodecahedral Spaces |

## Fall 2014

November 24
4:30 PM PHSC 809 |
Jordan Wiebe
University of Oklahoma | Dehn's Algorithm and applications to the two-holed torus |

November 17
4:30 PHSC 809 |
Jordan Wiebe
University of Oklahoma | Dehn's Algorithm and applications to the two-holed torus |

November 3
4:30 PHSC 809 |
Jonathan Merlini
University of Oklahoma | Dehn Complexes |

October 27
4:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | The Wirtinger presentation for the fundamental group of knot complements |

October 26
4:30 PM PHSC 809 |
Ben Stucky
University of Oklahoma | The Wirtinger presentation for the fundamental group of knot complements |

October 20
4:30 PM PHSC 809 |
Ignat Soroko
University of Oklahoma | Higman group and its relatives |

October 13
4:30 PM PHSC 809 |
Elizabeth Pacheco
| The van Kampen Lemma |

October 6
4:30 PM PHSC 809 |
Gordon Brown
| "Ping-pong" and matrix groups |

September 29
4:30 PM PHSC 809 |
Michael Tilles
University of Oklahoma | Conway's ZIP proof for classification of closed surfaces |

## Fall 2013

October 18
2:30PM - 3:30PM PHSC 430 |
Elizabeth Pacheco
University of Oklahoma | The Morse Inequalities |

October 4
2:30 PM - 3:30 PM PHSC 430 |
William Carter
University of Oklahoma | Morse Theory IV |

September 27
2:30 PM - 3:30 PM PHSC 430 |
William Carter
University of Oklahoma | Morse Theory 3: Homotopy Type in Terms of Critical Values |

September 20
2:30 PM - 3:30 PM PHSC 430 |
Scott Van Thuong
University of Oklahoma | Morse Theory: I |

September 13
2:30 PM - 3:30 PM PHSC 430 |
Scott Van Thuong
University of Oklahoma | Morse Theory: Introduction |

## Spring 2013

April 25
2:00PM - 2:50PM PHSC 1105 |
Scott Thuong
University of Oklahoma | Geometry and Compact Quotients of Sol II |

April 11
2:00 PM - 2:50 PM PHSC 1105 |
Scott Thuong
University of Oklahoma | Geometry and Compact Quotients of Sol |

March 15
3:30 PM - 4:30 PM PHSC 1025 |
Funda Gultepe
University of Oklahoma | The Classification Problem for 3-manifolds IV: Prime Decomposition |

March 7
2:00PM - 2:50PM PHSC 1105 |
Funda Gultepe
University of Oklahoma | The Classification Problem for 3-manifolds III: Prime Decomposition |

March 1
3:30 PHSC 1105 |
Funda Gultepe
University of Oklahoma | The Classification Problem for 3-manifolds III: Prime Decomposition |

February 28
2:00PM - 2:50PM PHSC 1105 |
Yoe Herrera Jaramillo
University of Oklahoma | Intersection Numbers Of Geodesic Curves in a Surface I |

February 21
2:00PM - 2:50PM PHSC 1105 |
Funda Gultepe
University of Oklahoma | The Classification Problem for 3-manifolds II: Prime Decomposition |

February 14
2:00PM - 2:50PM PHSC 1105 |
Funda Gultepe
University of Oklahoma | The Classification Problem for 3-manifolds I: Prime Decomposition |

January 31
5:30PM PHSC 1025 |
| Oraganizational Meeting |

## Fall 2012

December 4
10:30 AM - 11:30 AM PHSC 1105 |
Benjiman Tharp
University of Oklahoma | An Introduction to Lusternik-Schnirelmann Theory |

November 6
10:30 AM - 11:30 AM PHSC 1105 |
Scott Van Thuong
University of Oklahoma | Injective Torus Actions |

October 30
10:30AM - 11:30AM PHSC 1105 |
Cherith Tucker
University of Oklahoma | Geometry of S^3 |

October 23
10:30AM - 11:30AM PHSC 1105 |
William Carter
University of Oklahoma | New Examples of Torsion-Free Non-Unique Product Groups |

October 9
10:30AM - 11:30AM PHSC 1105 |
Scott Van Thuong
University of Oklahoma | Seifert Fiber Spaces (continued) |

October 2
10:30 AM - 11:30 AM PHSC 1105 |
Scott Van Thuong
University of Oklahoma | The Basic Theory Of Seifert Fiber Spaces |

September 25
10:30 AM - 11:30 AM PHSC 1105 |
Elizabeth Pacheco
University of Oklahoma | Geometric Structures on 2-Dimensional Orbifolds II |

September 11
10:30 AM - 11:30 AM PHSC 1105 |
Elizabeth Pacheco
University of Oklahoma | Geometric Structures on 2-Dimensional Orbifolds I |

September 4
10:30 AM - 11:30 AM PHSC 1105 |
William Carter
University of Oklahoma | 2-Dimensional Geometries II |

August 28
10:30 AM - 11:30 AM PHSC 1105 |
William Carter
University of Oklahoma | 2-Dimensional Geometries I |