The Geometry and Topology Graduate Student Seminar regularly meets on Wednesday at 2:00 in Skiles 006 unless otherwise indicated.
Spring 2025
| Date | Title | Speaker | Institute |
| Apr 23 | Twisted Alexander Polynomials Detect the Unknot | Jake Guynee | Ga Tech |
| Apr 16 | Pappus’ theorem and relatively Anosov representations of the Modular group | Alex Nolte | Ga Tech/Rice |
| Mar 26 | How to Lie in Control Theory | Jaden Wang | Ga Tech |
| Mar 5 | A retract of a Banach manifold is a submanifold | John Stavroulakis | Ga Tech |
| Feb 19 | A Uq(sl2) 3-manifold invariant | Luis Kim | Ga Tech |
| Feb 12 | What the Hecke is the BMW Algebra? | Jake Guynee | Ga Tech |
| Feb 5 | The Pontryagin-Thom Construction | Akash Narayanan | Ga Tech |
| Jan 29 | Immersed surface complements and round handles | Sean Eli | Ga Tech |
Fall 2024
| Date | Title | Speaker | Institute |
| Dec 4 | An Introduction to Characterizing Slopes of Knots | Owen Huang | Ga Tech |
| Nov 20 | Special talk | ||
| Nov 13 | Indigenous bundles and uniformization | Akash Narayanan | Ga Tech |
| Nov 6 | Flexibility and degeneracy around a theorem of Thurston | Alex Nolte | Ga Tech/Rice |
| Oct 30 | Topological Entropy and the Burau Representation | Jake Guynee | Ga Tech |
| Oct 23 | Mathematics you thought you knew (Special Talk) | Scott Baldridge | LSU |
| Oct 2 | Talk in Research Seminar | ||
| Sept 25 | Chow Rings | Aidan Latona | Ga Tech |
| Sept 18 | Shearing and bending (quasi-)Fuchsian representations | Alex Nolte | Ga Tech/Rice |
Spring 2024
| Date | Title | Speaker | Institute |
| Apr 3 | Structure of Boundaries of 3-Dimensional Convex Divisible Domains | Alex Nolte | Ga Tech/Rice |
| Mar 27 | Clifford Algebra: A Marvelous Machine Offered By the Devil | Jaden Wang | Ga Tech |
| Mar 13 | Virtual Knot Theory and the Jones Polynomial | Jacob Guynee | Ga Tech |
| Mar 6 | Minimal, non-uniquely ergodic interval exchange transformations | Alex Nolte | Ga Tech/Rice |
| Feb 28 | Smooth Fine Curve Graphs | Katherine Booth | Ga Tech |
| Feb 21 | Two-fold branched covers of hyperelliptic Lefschetz fibrations | Sierra Knavel | Ga Tech |
| Feb 14 | The mysterious part of the fine curve graph | Roberta Shapiro | Ga Tech |
| Feb 6 | An introduction to principal bundles and holonomy | Daniel Irvine | Ga Tech |
| Jan 31 | Braid Groups are Linear | Jacob Guynee | Ga Tech |
| Jan 24 | Three perspectives on B_3 | Akash Narayanan | Ga Tech |
| Jan 17 | Finite generation of the terms of the Johnson filtration | Dan Minahan | Ga Tech |
Fall 2023
| Date | Title | Speaker | Institute |
| Nov 29 | Higher Teichmüller spaces from tilings of convex domains | Alex Nolte | Ga Tech/Rice |
| Nov 15 | No (Con)way! | Daniel Hwang | Ga Tech |
| Nov 8 | Introduction to Vassiliev Invariants | Alex Eldridge | Ga Tech |
| Nov 1 | Classifying Legendrian Positive Torus Knots | Tom Rodewald | Ga Tech |
| Oct 24 | Meet My Muse: the MMM classes | Jaden Wang | Ga Tech |
| Oct 11 | Genus 2 Lefschetz Fibrations | Sierra Knavel | Ga Tech |
| Oct 4 | Representation Stability In Topology | Dan Minahan | Ga Tech |
| Sept 27 | Braid groups are not useful in cryptography | Jacob Guynee | Ga Tech |
| Sept 20 | An introduction to Morse theory and Morse homology | Akash Narayanan | Ga Tech |
| Sept 13 | An Interactive Introduction to Surface Bundles | Jaden Wang | Ga Tech |
| Sept 6 | Spheres can knot in 4 dimensions | Sean Eli | Ga Tech |
| Aug 30 | An introduction to 4-manifolds | Sierra Knavel | Ga Tech |
| Aug 23 | An Introduction to Teichmüller Theory | Alex Nolte | Ga Tech/Rice |
Spring 2023
| Date | Title | Speaker | Institute |
| Apr 26 | Connecting Symplectic Fillings of L(p,q) to the Mapping Class Group | Tom Rodewald | Ga Tech |
| Apr 12 | A Visual Journey via Unicorn Paths | Katherine Booth | Ga Tech |
| Apr 5 | Benoist’s Limit Cone Theorem | Alex Nolte | Ga Tech/Rice |
| Mar 28 | The belt trick and spin groups | Sean Eli | Ga Tech |
| Mar 15 | Talk in the research seminar | ||
| Mar 7 | The pants complex and More-s | Roberta Shapiro | Ga Tech |
| Mar 1 | Common fixed points of commuting homeomorphisms of S^2 | Cindy Tan | U Chicago |
| Feb 15 | Uniform perfection: a DIFF-icult situation | Roberta Shapiro | Ga Tech |
| Feb 8 | The Braid Group and the Burau Representation | Jacob Guynee | Ga Tech |
Fall 2022
| Date | Title | Speaker | Institute |
| Nov 30 | Everything Alexander in the context of mapping class group | Jaden Wang | Georgia Tech |
| Nov 16 | Localization and completion in homotopy theory | Dimitrios Kidonakis | Georgia Tech |
| Nov 9 | On the h-cobordism theorem and dimension 4 | Agniva Roy | Georgia Tech |
| Oct 26 | The cohomological dimension of the terms of the Johnson filtration | Dan Minahan | Georgia Tech |
| Oct 5 | 3-Manifolds up to 1957 | Weizhe Shen | Georgia Tech |
| Sept 28 | A (very) introductory talk to 4-dimensional manifolds | Sierra Knavel | Georgia Tech |
| Sept 14 | A (very) introductory talk to 4-dimensional manifolds | Sierra Knavel | Georgia Tech |
| Sept 7 | A Brief History of Time Mapping Class Groups | Roberta Shapiro | Georgia Tech |
Spring 2022
The Geometry and Topology Student Seminar will sometimes be run in-person and sometimes on-line. If the title has an * by it, then it will be in-person in Skiles 006. For on-line seminars a link will be sent to the geometry-topology group before each seminar.
| Date | Title | Speaker | Institute |
| April 20 | Morphisms of Curve Graphs and Surfaces | Katherine Booth | Georgia Tech |
| Feb 23 | A exotic contractible 4-manifold* | Sierra Knavel | Georgia Tech |
| Feb 16 | Topological Methods in Convexity* | Kevin Shu | Georgia Tech |
| Feb 9 | The slice-ribbon conjecture and 3-stranded pretzel knots* | Hugo Zhou | Georgia Tech |
| Feb 2 | Teichmüller space via skein algebras* | Tao Yu | Georgia Tech |
Fall 2021
The Geometry and Topology Student Seminar will sometimes be run in-person and sometimes on-line. If the title has an * by it, then it will be in-person in Skiles 006. For on-line seminars a link will be sent to the geometry-topology group before each seminar.
| Date | Title | Speaker | Institute |
| Nov 30 | An introduction to Cork twists, Gluck twists, and Logarithmic transformations of 4-manifolds* | Sierra Knavel | Georgia Tech |
| Nov 17 | An Alexander method for infinite-type surfaces | Roberta Shapiro | Georgia Tech |
| Nov 2 | G-equivariant PL-Morse theory* | Dan Minahan | Georgia Tech |
| Oct 27 | Automorphisms of B_n via Total Symmetry* | Noah Caplinger | Georgia Tech |
| Oct 20 | Smooth concordance, homology cobordism, and the figure-8 knot* | Sally Collins | Georgia Tech |
| Oct 13 | SLn skein algebra and quantum matrices* | Tao Yu | Georgia Tech |
| Oct 6 | On Anosovity, divergence and bi-contact surgery* | Surena Hozoori | Georgia Tech |
| Sept 29 | Legendrians, Contact Structures, and Time Travel* | Agniva Roy | Georgia Tech |
| Sept 22 | Mapping class group of 4-manifolds* | Anubhav Mukherjee | Georgia Tech |
| Sept 15 | Enumerating knots and links* | Hugo Zhou | Georgia Tech |
Spring 2021
The Geometry and Topology Graduate StudentSeminar will be held online this semester due to COVID-19. Please contact John Etnyre for the link to the seminars if you are interested. (Talks scheduled on the same day are each 30 minute talks.)
| Date | Title | Speaker | Institute |
| Apr 21 | An Alexander method for infinite-type surfaces | Roberta Shapiro | Georgia Tech |
| Apr 7 | Exotic smooth structures and H-slice knots | Hyunki Min | Georgia Tech |
| Mar 31 | Symplectic rigidity, flexibility, and embedding problems | Agniva Roy | Georgia Tech |
| Mar 17 | Introduction to Knot Floer Homology | Weizhe Shen | Georgia Tech |
| Mar 10 | Basic Notions of Stability in Geometric Group Theory | Dan Minahan | Georgia Tech |
| Mar 3 | Snowflake Conjectures for Mapping Class Groups | Santana Afton | Georgia Tech |
| Feb 10 | Introduction to Geometric Group Theory and Mapping Class Groups | Katherine Booth | Georgia Tech |
| Feb 3 | Serre Spectral Sequence | Hugo Zhou | Georgia Tech |
Fall 2020
The Geometry and Topology Graduate StudentSeminar will be held online this semester due to COVID-19. Please contact John Etnyre for the link to the seminars if you are interested. (Talks scheduled on the same day are each 30 minute talks.)
| Date | Title | Speaker | Institute |
| Dec 2 | The Akbulut-Kirby conjecture and the slice-ribbon conjecture | Weizhe Shen | Georgia Tech |
| Nov 28 | Grid Homology | Sally Collins | Georgia Tech |
| Nov 4 | Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology | Surena Hozoori | Georgia Tech |
| Oct 6 | Topology of cable knots | Hyunki Min | Georgia Tech |
| Sept 30 | Exotic Behavior of Manifolds | Anubhav Mukherjee | Georgia Tech |
| Sept 23 | The skein algebra as a quantized character variety | Tao Yu | Georgia Tech |
| Sept 16 | Cancelled | ||
| Sept 9 | Knot concordance | Hugo Zhou | Georgia Tech |
| Sept 2 | Symplectic Fillings of Contact Structures | Agniva Roy | Georgia Tech |
| Aug 26 | The Alexander method and recognizing maps | Roberta Shapiro | Georgia Tech |
| Aug 26 | Using and Understanding Torsion in Big Mapping Class Groups | Santana Afton | Georgia Tech |
Spring 2020
Starting March 25 the seminar now meets on-line due to the shutdown of on campus activities related to COVID-19.
| Date | Title | Speaker | Institute |
| April 29 | Every surface is a leaf | Justin Lanier | Georgia Tech |
| April 22 | Bordered Floer Homology via Immersed Curves | Sally Collins | Georgia Tech |
| April 15 | Bordered Floer Homology | Sally Collins | Georgia Tech |
| April 8 | The Jones polynomial via quantum group representations | Tao Yu | Georgia Tech |
| Mar 25 | Hopf Algebras and Cohomology of Lie Groups | Tao Yu | Georgia Tech |
| Mar 11 | Noncollapsed Ricci limit spaces and the codimension 4 conjecture | Xingyu Zhu | Georgia Tech |
| Feb 26 | Cosmetic surgeries on knots in S^3 | Hugo Zhou | Georgia Tech |
| Feb 19 | Lifting Covers to Braided Embeddings | Sudipta Kolay | Georgia Tech |
| Feb 5 | Fillings of Contact 3 Manifolds and Relations in Mapping Class Groups of Surfaces | Agniva Roy | Georgia Tech |
| Jan 29 | 4-Dimensional Knot Surgery | Anubhav Mukherjee | Georgia Tech |
| Jan 22 | Topology of knot complements | Hyun Ki Min | Georgia Tech |
Fall 2019
| Date | Title | Speaker | Institute |
| Dec 11 | Involutive Heegaard Floer Homology | Sally Collins | Georgia Tech |
| Dec 4 | Branched covers and contact 3 manifolds | Agniva Roy | Georgia Tech |
| Nov 27 | The Underlying Contact and Symplectic Topology of Anosov Flows in Dimension 3 | Surena Hozoori | Georgia Tech |
| Nov 20 | Prime Decomposition of 3-manifolds | Thomas Rodewald | Georgia Tech |
| Nov 6 | A Study of Knots & Links derived from Doubly Periodic Knitted Fabric Patterns | Shashank Markande | Georgia Tech |
| Oct 30 | Degeneration and examples of Einstein manifolds | Ruobing Zhang | SUNY Stony Brook |
| Oct 23 | Heegaard Floer obstruction to knot surgery | Hongyi Zhou | Georgia Tech |
| Oct 16 | Partial Torelli Groups | Dan Minahan | Georgia Tech |
| Oct 9 | Obstructions to nice branch sets for branched coverings | Sudipta Kolay | Georgia Tech |
| Oct 2 | H cobordisms and corks | Agniva Roy | Georgia Tech |
| Sept 25 | Graph theory and Heegaard Floer homology | Hyun Ki Min | Georgia Tech |
| Sept 18 | Surface bundles in topology, algebraic geometry, and group theory | Justin Lanier | Georgia Tech |
| Sept 11 | Unfoldings of 3D Polyhedra | Nicholas Barvinok | Georgia Tech |
| Sept 4 | 0-Concordance of 2-Knots | Anubhav Mukherjee | Georgia Tech |
Spring 2019
| Date | Title | Speaker | Institute |
| Apr 17 | Swindles in Mathematics | Sudipta Kolay | Georgia Tech |
| Apr 10 | Definition of Casson Invariant | Hongyi Zhou | Georgia Tech |
| Apr 3 | No Seminar: Talk in Research seminar | ||
| Feb 6 | Dynamics and Topology of Contact 3-Manifolds with negative $\alpha$-Sectional Curvature 3 | Surena Hozoori | Georgia Tech |
| Jan 30 | Dynamics and Topology of Contact 3-Manifolds with negative $\alpha$-Sectional Curvature 2 | Surena Hozoori | Georgia Tech |
| Jan 23 | Dynamics and Topology of Contact 3-Manifolds with negative $\alpha$-Sectional Curvature 1 | Surena Hozoori | Georgia Tech |
Fall 2018
| Date | Title | Speaker | Institute |
| Dec 5 | Some well disguised ribbon knots | Agniva Roy | Georgia Tech |
| Nov 28 | The Converse Of The Archimedean Property of the Sphere and Related Results in Convex Geometry and Measure Theory | Sidhanth Raman | Georgia Tech |
| Nov 14 | Existence of contact structures in 3-manifolds | Hyunki Min | Georgia Tech |
| Oct 24 | Boothby Wang Fibrations, K-Contact Structures and Regularity | Surena Hozoori | Georgia Tech |
| Oct 10 | Introduction to h-principle | Sudipta Kolay | Georgia Tech |
| Oct 3 | A1-enumerative geometry | Stephen Mckean | Georgia Tech |
| Sept 26 | A discussion about the smooth Schoenflies’ conjecture | Agniva Roy | Georgia Tech |
| Sept 19 | Sphere eversion: From Smale to Gromov II | Hyunki Mi | Georgia Tech |
| Sept 12 | Sphere eversion: From Smale to Gromov I | Hyunki Mi | Georgia Tech |
| Sept 5 | Introduction to jet bundle and Whitney embedding theorem | Anubhav Mukherjee | Georgia Tech |
| Aug 22 | Whitney–Graustein theorem | Sudipta Kolay | Georgia Tech |
Spring 2018
| Date | Title | Speaker | Institute |
| Apr 18 | The Dehn-Nielsen-Baer Theorem | Sarah Davi | Georgia Tech |
| Apr 4 | Exotic 7-sphere | Hongyi Zhou | Georgia Tech |
| Mar 30 | Eight faces of the Poincaré homology 3-sphere | Sudipta Kolay | Georgia Tech |
| Mar 28 | Period three implies chaos | Justin Lanier | Georgia Tech |
| Mar 14 | Convexity and Contact Sphere Theorem | Surena Hozoori | Georgia Tech |
| Mar 7 | A discussion on 3 dim Lens spaces. | Agniva Roy | Georgia Tech |
| Feb 28 | Classification of knots in 3-sphere | Hyun Ki Min | Georgia Tech |
| Feb 21 | An introduction to the braid group | Kevin Kodrek | Georgia Tech |
| Feb 14 | Diffeomorphism groups of spheres and it’s connection with exotic structures | Anubhav Mukherjee | Georgia Tech |
| Feb 7 | Dehn surgery on the figure 8 knot | Hyun Ki Min | Georgia Tech |
| Jan 31 | Generalized Schönflies theorem | Sudipta Kolay | Georgia Tech |
| Jan 24 | Interval self-maps: what you knead to know | Justin Lanier | Georgia Tech |