Geometry and Topology Student Seminar

Tuesdays 1:30 - 2:30 pm, Room 4214.03 (Math Thesis Room)
Graduate Center CUNY

Past Seminars


Schedule for Fall 2023


Date Speaker Topic & Reference
Sept 12 Ilya Kofman (CSI and GC) Why are alternating knots interesting ?
Sept 19 Kuwari Mahanta (Indian Institute of Technology) CUNY G & T Seminar zoom talk
Sept 26 Susan Rutter (GC) Surgery on 3-manifolds
Note Different Time and Place
Time: 4:15 - 5:15 pm, Room: 5417
Oct 3 Megha Bhat (GC) Most alternating knots are hyperbolic I
Oct 10 No Seminar (Monday schedule)
Oct 17 Megha Bhat (GC) Most alternating knots are hyperbolic II
Oct 24 Yushan Jiang (GC) Quasi-isometric Rigidity and the Seifert Fibered Space Conjecture
Oct 31 Joe Boninger (Boston College) Random Walks on Knots and Braids
Nov 7 Ipsa Bezbarua (GC) Simplicial Complexes on Seifert Surfaces of Links - A Tale of Two Structures
Nov 14 Ipsa Bezbarua (GC) Simplicial Complexes on Seifert Surfaces of Links - A Tale of Two Structures
Nov 21 No seminar
Nov 28 No seminar
Dec 5 Susan Rutter (GC) Continued Fractions and Lens Spaces


Schedule for Spring 2023


Date Speaker Topic & Reference
Feb 7th No seminar Einstein Chair Mathematics Seminar
Feb 14th Sayantika Mondal (CUNY GC) Totally geodesic surfaces and subgroup separability
Feb 21st No seminar Classes follow Monday schedule
Feb 28th Ajmain Yamin (CUNY GC) The field of definition of a dessin
Mar 7th Zhihao Mu (CUNY GC) Quasi-isometric classification of graph manifold groups
Mar 14th Zhihao Mu (CUNY GC) Quasi-isometric classification of graph manifold groups
Mar 21st Yassin Chandran (CUNY GC) Mapping class groups and finite presentability
Mar 28th No seminar Einstein Chair Mathematics Seminar
Apr 4th Seminar canceled
Apr 11th No seminar Spring break
Apr 18th Weiyan Lin (CUNY GC) (Projectivized) geodesic currents, length function, and intersection form: constructions and properties
Apr 25th Yushan Jiang (CUNY GC) S^1 Action and Asymmetry of Topological Spaces (Especially 3-Manifolds)
May 2nd Yushan Jiang (CUNY GC) S^1 Action and Asymmetry of 3-Manifolds
May 9th Susan Rutter (CUNY GC) Square peg problem and symplectic topology


Schedule for Fall 2022


Date Speaker Topic & Reference
September 20 Zhihao Mu (CUNY GC) Accessibility for groups
September 27 No Seminar
October 4 No Seminar
October 11 Carol Badre (CUNY GC) All closed orientable 3-manifolds are central in trisections of 5-manifolds
October 18 Yushan Jiang (CUNY GC) The isometry group can be determined by the topology (in some sense)
October 25 Michael Marinelli (CUNY GC) Reidemeister torsion and Fox calculus
November 1 No seminar
November 8 Yushan Jiang (CUNY GC) A Brief Introduction to the famous Virtual Haken Conjecture I
November 15 Yushan Jiang (CUNY GC) A Brief Introduction to the famous Virtual Haken Conjecture II
November 22 No seminar - Thanksgiving week
November 29 No seminar
December 6 Zhihao Mu Mapping class group and curve graphs


Schedule for Spring 2022


Date Speaker Topic & Reference
Feb 22nd Matt Genkin Random walk on graphs
Mar 1st Yushan Jiang Counting Simple Closed Geodesics on Closed Hyperbolic Surfaces I
Mar 8th Yushan Jiang Counting Simple Closed Geodesics on Closed Hyperbolic Surfaces II
Mar 15th No seminar
Mar 22nd Zhihao Mu Groups acting on trees OHGGT - Chapter 3
Mar 29th Michael Marinelli Many roads to two bridges
Apr 5th Connor Stewart Free groups and folding OHGGT - Chapter 4
Apr 12th Joe Boninger PhD thesis defense
Apr 19th No seminar - Spring break
Apr 26th Yassin Chandran Automorphisms of surfaces and related objects
May 3rd Eden Morris The Dehn Complex of a Knot
May 10th Ajmain Yamin A Modular Uniformization of the Heawood Map


Schedule for Fall 2021




Date Speaker Topic & Reference
Tuesday Sept 14 Michael Marinelli Ideal triangulations of surfaces and 3-manifolds
Tuesday Sept 21 Michael Marinelli Ideal triangulations of punctured torus bundles
Tuesday Sept 28 Michael Marinelli Ideal triangulations of 2-bridge link complements
Tuesday Oct 5 Yassin Chandran JSJ decomposition of 3-manifolds I
Tuesday Oct 12 Yassin Chandran JSJ decomposition of 3-manifolds II
Tuesday Nov 30 Joe Boninger Graphs and Matroids
Tuesday Dec 7 Joe Boninger Graphs and Matroids II


Schedule for Spring 2021


For part of this semester we are planning to cover the diagrammatics, topology and geometry of virtual links and links in thickened surfaces.

References

Date Speaker Topic & Reference
Tuesday Feb 16th Joe Boninger Fun with Virtual Knots
Tuesday Feb 23rd Joe Boninger Fun with Virtual Knots
Tuesday Mar 2nd Sayantika Mondal Kauffman bracket of links in 3-space
Tuesday Mar 9th Yassin Chandran Kauffman bracket of links in thickened surfaces
Tuesday Mar 16th Yassin Chandran Kauffman bracket of links in thickened surfaces
Tuesday Mar 23rd Christine Ruey Shan Lee (U South Alabama) Constructions of color Khovanov homology
Tuesday Mar 30th No Seminar CUNY Holiday
Tuesday Apr 6th No Seminar Dissertation defense
Tuesday Apr 13th The Jones-Krushkal polynomial for links in thickened surfaces - I Saliha Kivanc (Hacettepe University, Turkey)
Tuesday Apr 20th The Jones-Krushkal polynomial for links in thickened surfaces - II Saliha Kivanc (Hacettepe University, Turkey)
Tuesday Apr 27th The Jones-Krushkal polynomial for links in thickened surfaces - III Saliha Kivanc (Hacettepe University, Turkey)
Tuesday May 4th No Seminar
Tuesday May 11th Alternating links and definite surfaces Joe Boninger
Tuesday May 18th


Schedule for Fall 2020


Topic for Fall 2020: Classification and geometrization of Seifert fibered spaces



3-manifold topology and geometry

  1. An introduction to Geometric Topology by Bruno Martelli, available online.
  2. Geometries of 3-manifolds by Peter Scott, Bulletin of LMS, 15 (1983) online.
  3. Geometric structures on 3-manifolds by Francis Bonahon, Handbook of Geometric Topology, available online.




Date Speaker Topic & Reference
Tuesday Sept 8th Abhijit Champanerkar Outline, Summary and Resources
Tuesday Sept 15th Emilio Minichiello (CUNY GC) Circle Bundles (Section 10.2)
Tuesday Sept 22nd Hannah Turner (UT Austin) Branched double covers, quasi-alternating links, Heegaard Floer homology
Tuesday Sept 29th No seminar today, CUNY on Monday schedule
Tuesday Oct 6th Brandon Bavier (MSU) Alternating knots on surfaces, cusps and cusp volume
Tuesday Oct 13th Yassin Chandran (CUNY GC) Seifert Manifolds (Section 10.3)
Tuesday Oct 20th Michael Marinelli (CUNY GC) Classification of Seifert manifolds (Section 10.4)
Tuesday Oct 27th Joe Boninger (CUNY GC) Classification of Seifert manifolds (Section 10.4)
Tuesday Nov 3rd No Seminar
Tuesday Nov 10th Rhea Palak Bakshi (George Washington University) Skein Modules
Tuesday Nov 17th Joe Boninger (CUNY GC) The Colored Jones Polynomial and Operator Invariants of Links
Tuesday Nov 24th Joe Boninger (CUNY GC) The Colored Jones Polynomial, the Volume Conjecture, and a Quantum Invariant for Links in the Thickened Torus


Schedule for Spring 2020


Announcements

Posted 3/16: This seminar will meet online for the remainder of the semester. Please check your email for information regarding online meetings. If you are not on the email list please send me an email.


Topic for Spring 2020: Hyperbolic knots and 3-manifolds

We will follow the book Hyperbolic Knot Theory by Jessica Purcell (posted on arXiv on March 2nd 2020). Here is a longer list of books, notes and papers on hyperbolic knots and 3-manifolds.


Date Speaker Topic & Reference
Tuesday 2/4 Abhijit Champanerkar Outline, Summary and Resources
Tuesday 2/11 Joe Boninger
Yassin Chandran
Hyperbolic geometry in dimensions 2 and 3 (Sections 2.1, 2.3)
Tuesday 2/18 Emilio Minichiello Geometric structures (Section 3.1)
Tuesday 2/25 Matt Genkin
Complete structures (Section 3.2)
Tuesday 3/3 Abhijit Champanerkar
Moshe Dinowitz
Developing maps (Section 3.3), Geometric triangulations (Section 4.1)
Tuesday 3/10 Emilio Minichiello Gluing equations and hyperbolic structures (Sections 4.2 )
Tuesday 3/17 Michael Marinelli
Joe Boninger
Gluing equations and hyperbolic structures (Sections 4.4)
Hyperbolic Volume (Sections 9.1, 9.2),
Online meeting. Check email for more information
Tuesday 3/24 Michael Marinelli
Alexander Stas
Completion (Sections 6.1)
Computing hyperbolic structures and invariants SnapPy
Online meeting. Check email for more information
Tuesday 3/31 No seminar
Tuesday 4/7 No seminar CUNY Wednesday
Tuesday 4/14 No seminar
Tuesday 4/21 Abhijit Champanerkar Algebraic Sets and the A-Polynomial (Chapter 15)
Online meeting. Check email for more information
Tuesday 4/28 Abhijit Champanerkar PSL A-Polynomial and the Gluing variety (Chapter 15)
Online meeting. Check email for more information
Tuesday 5/5 Abhijit Champanerkar PSL A-Polynomial and the Gluing variety (Chapter 15)
Online meeting. Check email for more information


Schedule for Fall 2019




Date Speaker Topic & Reference
Tuesday Sep 10 Abhijit Champanerkar Polyhedral decompositions of link complements in the 3-sphere and generalizations I
Tuesday Sep 17 Abhijit Champanerkar Polyhedral decompositions of link complements in the 3-sphere and generalizations II
Examples
Tuesday Sep 24 Adam Lowrance (Vassar) An introduction to alternating distance
Tuesday Oct 1 No seminar CUNY holiday
Tuesday Oct 8 No seminar CUNY holiday
Tuesday Oct 15 Michael Marinelli Alexander polynomial from infinite cyclic cover and Seifert surfaces of knots
Tuesday Oct 22 Michael Marinelli Reidemeister torsion interpretation of the Alexander polynomial
Tuesday Oct 29 Michael Marinelli Reidemeister torsion interpretation of the Alexander polynomial
Tuesday Nov 5 Alexander Stas Lorenz Links, Murasugi Sums, and Fiberedness
Tuesday Nov 12 Senia Sheydvasser (CUNY) Quaternion Algebras and Hyperbolic manifolds
Tuesday Nov 19 Paul Beirne (Dublin) Explicit computation of tails of Colored Jones polynomials
Tuesday Nov 26 No Seminar
Tuesday Dec 3 Alexander Stas Translation distance and Murasugi sums
Tuesday Dec 10 Joe Boninger Introduction to Witten Reshetikhin-Turaev (WRT) Invariants of 3-Manifolds


Schedule for Spring 2019




Date Speaker Topic & Reference
Tuesday Feb 26 Abhijit Champanerkar Virtually Compact Special Theorem (Section 5.2)
Tuesday Mar 5 No Seminar GC Math Dept Meeting and Colloquium
Tuesday Mar 12 No Seminar Double header in main seminar
Tuesday Mar 19 Dan White Geometrically finite surfaces in hyperbolic 3-manidolds
Tuesday Mar 26 Dan White Geometrically finite surfaces and quasi-convex hierarchy
Tuesday Apr 2 AJ Stas Virtually quasi-convex subgroup of a RAAG is virtually fibered
Tuesday Apr 9 AJ Stas Virtually quasi-convex subgroup of a RAAG is virtually fibered
Tuesday Apr 16 Maggie Miller (Princeton) Banded unlink diagrams of surfaces
Tuesday April 23 No seminar Spring Break
Tuesday April 30 Elizabeth Field (UIUC) An introduction to Cannon-Thurston maps
Tuesday May 7 Dan Berlyne Compact special groups are quasi-convex subgroups of RAAGs
Tuesday May 14 Dan Berlyne Compact special groups are quasi-convex subgroups of RAAGs


Schedule for Fall 2018




Date Speaker Topic & Reference
Tuesday Sept 11 No Seminar - CUNY closed
Tuesday Sept 18 No seminar - CUNY closed
Tuesday Sept 25 Saul Schleimer (Warwick) Flat Surfaces
Tuesday Oct 2 Alexander Stas (CUNY GC) The arc and curve complex, and translation distance
Tuesday Oct 9 Alexander Stas (CUNY GC) The arc and curve complex, and translation distance
Tuesday Oct 16 No seminar
Tuesday Oct 23 Combined with Hyperbolic Geometry Seminar
Tuesday Oct 30 Jacob Russell (CUNY GC) The Geometry of Complexes of Curves
Tuesday Nov 6 No seminar
Tuesday Nov 13 Dan Berlyne (CUNY GC) Sageev's cube complex construction
Tuesday Nov 20 No seminar
Tuesday Nov 27 Yu Hai (CUNY GC) Classification of surface diffeomorphisms
Tuesday Dec 4 Tim Morris (Temple University) The Alexander polynomial and covers of knot complements


Schedule for Spring 2018




Date Speaker Topic & Reference
Tuesday March 6th Alexander Stas Virtually special hyperbolic 3-manifold groups I
Tuesday March 13th Alexander Stas Virtually special hyperbolic 3-manifold groups II
Tuesday March 20th Alexander Stas Surface subgroup separability and lifting immersed surfaces to embeddings
Tuesday March 27th Joe Quinn Orders and Orbifolds
Tuesday May 1st Dan Berlyne Contact graphs of cube complexes I
Tuesday May 8th Dan Berlyne Contact graphs of cube complexes II


Schedule for Fall 2017




Date Speaker Topic & Reference
Tuesday Sept 26 Abhijit Champanerkar On Archimedean link complements
Tuesday Oct 3 Abhijit Champanerkar Regular and semi-regular links in the thickened torus
Tuesday Oct 10 Daniel Berlyne Schwartz's rigidity theorem
Tuesday Oct 17 Alice Kwon Geodesic triangulations exists for cusped Platonic manifolds
Tuesday Oct 24 Alice Kwon Geodesic ideal triangulations exist virtually
Tuesday Oct 31 Alexander Stas Bipyramids and bounds on volumes of hyperbolic links
Tuesday Nov 7 Jacob Russell-Madonia Purely pseudo-Anosov subgroups of the mapping class group
Tuesday Nov 14 Jacob Russell-Madonia Purely pseudo-Anosov subgroups of the mapping class group
Tuesday Nov 21 No seminar
Tuesday Nov 28 Alexander Stas Volumes of N-Cusped Hyperbolic 3-Manifolds
Tuesday Dec 5 Yu Hai Mostow Rigidity
Tuesday Dec 12 Yu Hai Mostow Rigidity


Schedule for Spring 2017




Date Speaker Topic & Reference
Tuesday Feb 7th Abhijit Champanerkar An application of non-positively curved cubings of alternating links
Tuesday Feb 14th Daniel Berlyne Hyperbolic ideal tetrahedra and volume
Tuesday Feb 21st Alice Kwon Ideal triangulations and gluing equations I
Tuesday Feb 28th Jacob Russell-Madonia Non-positively curved cube complexes
Tuesday Mar 7th Alice Kwon Ideal triangulations and gluing equations II
Tuesday Mar 14th GC closed
Tuesday Mar 21st Rachel Popp Octahedral decompostions of link complements
Tuesday Mar 28th Daniel White SnapPy
Tuesday Apr 4th Yu Hai An application of non-positively curved cubings of alternating links
Tuesday Apr 11th No seminar Spring Break
Tuesday Apr 18th No seminar Spring Break
Tuesday Apr 25th Abhijit Champanerkar An application of non-positively curved cubings of alternating links
Tuesday May 2nd No Seminar Double header in CUNY Geometry and Topology Seminar
Tuesday May 9th Dan Silver Lehmer's Question and Knot Theory
Tuesday May 16th Alice Kwon Angle structures on hyperbolic 3-manifolds


Schedule for Fall 2016




Date Speaker Topic & Reference
Tuesday Sept 13th Abhijit Champanerkar Knot groups and representations
Tuesday Sept 20th Jacob Russell-Madonia Mapping Class Groups and the Curve Complex
Tuesday Sept 27th Daniel Berlyne Teichmuller's existence and uniqueness theorems - I
Tuesday Oct 4th No seminar (no CUNY classes)
Tuesday Oct 11th No seminar (no CUNY classes)
Tuesday Oct 18th Daniel Berlyne Teichmuller's existence and uniqueness theorems - II
Tuesday Oct 25th Matt Sunderland Poisson Boundary and Random Walk
Tuesday Nov 1st Jacob Russell-Madonia Hierarchical Hyperbolicicity and CAT(0) Cube Complexes
Tuesday Nov 8th Alice Kwon Introduction to fundamental domains: Dirichlet domains of Fuchsian groups I
Tuesday Nov 15th Daniel White Introduction to fundamental domains: Dirichlet domains of Fuchsian groups II
Tuesday Nov 22nd Blanca Marmolejo On Poincare's theorem for fundamental polygons I
Tuesday Nov 29th Blanca Marmolejo On Poincare's theorem for fundamental polygons II
Tuesday Dec 6th No Seminar


Schedule for Spring 2015


Date Speaker Topic & Reference
Tuesday Feb 3rd Seungwon Kim Link diagrams with Turaev genus one
Tuesday Feb 10th Seungwon Kim Link diagrams with Turaev genus one
Tuesday Feb 17th No seminar
Tuesday Feb 24th Zach McGuirk Expansion in graphs and Expansion Phenomena
Tuesday March 3rd Zach McGuirk Expansion in graphs and Expansion Phenomena
Tuesday March 10th Joe Quinn Canonical decompositions for cusped hyperbolic manifolds
Tuesday March 17th Joe Quinn Canonical decompositions for cusped hyperbolic manifolds
Tuesday March 24th Zach McGuirk Expansion in graphs and Expansion Phenomena
Tuesday March 31st No Seminar
Tuesday April 7th No Seminar Spring break
Tuesday April 14th Ivan Levcovitz Geometry in Coxeter Groups
Tuesday April 21st No seminar Identities in New York
Tuesday April 28th Joe Quinn Macfarlane Spaces and Arithmetic Kleinian Groups
Tuesday May 5th Ivan Levcovitz Geometry in Coxeter Groups
Tuesday May 12th Joe Quinn Macfarlane Spaces and Arithmetic Kleinian Groups


Schedule for Spring 2014

Day and Time: Tuesdays, 12 - 1:30
Location: Math Thesis Room 4214.03, Graduate Center CUNY

Date Topic & Reference Speaker
Feb 11th Exact volume of hyperbolic 2-bridge links Abhijit Champanerkar
Feb 18th Exact volume of hyperbolic 2-bridge links Abhijit Champanerkar
Feb 25th Exact volume of hyperbolic 2-bridge links Abhijit Champanerkar
Mar 4th Ribbon graphs and partial duality Seungwon Kim
Mar 11th Ribbon graphs and partial duality Seungwon Kim
Mar 18th Ribbon graphs and partial duality Seungwon Kim
Mar 25th Sakuma-Weeks triangulations of 2-bridge link complements I Abhijit Champanerkar
Apr 1st Sakuma-Weeks triangulations of 2-bridge link complements II Abhijit Champanerkar
Apr 8th Quaternion Algebras and Hyperbolic 3-Manifolds I Joe Quinn
Apr 15th Spring Break
Apr 22nd Spring Break
Apr 29th Quaternion Algebras and Hyperbolic 3-Manifolds II Joe Quinn
May 6th Sakuma-Weeks triangulations of 2-bridge link complements III Abhijit Champanerkar
May 13th Examples of exact volume of hyperbolic 2-bridge links Rochy Flint


Schedule for Fall 2013

We will cover recent topics in hyperbolic 3-manifolds and knot theory. This semester the plan is to go through the following papers:
Day and Time: Tuesdays, 12 - 1:30
Location: Room 3212, Graduate Center CUNY

Date Topic & Reference Speaker
Tuesday Sept 17th An alternative approach to hyperbolic structures on link complements I Abhijit Champanerkar
Tuesday Sept 24th Geometry of polygons Abhijit Champanerkar
Tuesday Oct 1st Edge and crossing labels Abhijit Champanerkar
Tuesday Oct 8th Gluing equations Abhijit Champanerkar
Tuesday Oct 15th No seminar
Tuesday Oct 22nd Gluing Equations Ilya Kofman
Tuesday Oct 29th Parabolic Representations Ilya Kofman
Tuesday Nov 5th Examples part 1 Rochy Flint
Tuesday Nov 12th Examples part 2 Rochy Flint
Tuesday Nov 19th Examples part 3 Joe Quinn
Tuesday Nov 26th No seminar
Tuesday Dec 3 Problems and Questions Abhijit Champanerkar
Tuesday Dec 10 No seminar


Schedule for Spring 2013



Note room and time change to Room 3209 from 12 - 1:30 pm.

Cubical complexes and RAAGs Reading Seminar

About the seminar: This is a reading seminar on Cubical complexes, Right Angled Artin groups (RAAGs) and their applications to group theory and 3-manifolds. We will start by covering some background topics and proceed to read parts of the lecture notes by Daniel Wise (linked below), which is based on his lectures given at the Graduate Center in summer of 2011 (see link below). This seminar is accessible to graduate students and non-experts. Everyone is welcome.

References:
  1. 3-manifolds, Right-Angles Artin groups, and Cubical Geometry by Daniel Wise, (Lecture Notes)
  2. A combination Theorem for special cube complexes by Haglund and Wise (paper)
  3. Finiteness properties of cubulated groups by Hruska and Wise (paper)


Time Date Topic & Reference Speaker
12 - 1:30 Tuesday Feb 19th 4.1 Special Cube complexes Abhijit Champanerkar
11:45 - 1:15 Tuesday Feb 26th 4.2 Separability criterion for Virtual Specialness Abhijit Champanerkar
11:45 - 1:15 Tuesday Mar 5th 4.3 Canonical Completion and Retraction Timothy Susse
11:45 - 1:15 Tuesday Mar 12th 4.4 Separability in the hyperbolic case Abhijit Champanerkar
11:45 - 1:15 Tuesday Apr 9th 4.5 & 4.6 Wall injectivity Harriet Moser
Room 3209 12 - 1:30 Tuesday Apr 16th Overview of cubical complexes and 3-manifolds Tim Susse
Room 3209 12 - 1:30 Tuesday Apr 23th 6.1 - 6.3 Wall spaces and dual cube complexes Rochy Flint
Room 3209 12 - 1:30 Tuesday Apr 30th 6.4 -6.5 Examples and Codim-1 subgroups Tim Susse


Schedule for Fall 2012



Time Date Topic & Reference Speaker
11:45 - 1:00 Tuesday Sept 11th Non-positive Curvature I     Notes Timothy Susse
11:45 - 1:00 Tuesday Oct 2nd Non-positive Curvature II     Notes Timothy Susse
11:45 - 1:00 Tuesday Oct 9th Cubical complexes Abhijit Champanerkar
11:45 - 1:00 Tuesday Oct 16th RAAGs Abhijit Champanerkar
11:45 - 1:00 Tuesday Oct 23rd Hyperplanes I Joseph Maher
11:45 - 1:00 Tuesday Nov 13th Hyperplanes II Joseph Maher
11:45 - 1:00 Tuesday Nov 27th 3.3 Local isometries and Convexity Abhijit Champanerkar
11:45 - 1:00 Tuesday Dec 4th 3.4 Quasiconvexity I Timothy Susse
11:45 - 1:00 Tuesday Dec 11th 3.4 Quasiconvexity II Timothy Susse


Schedule for Winter 2012

Hyperbolic 3-manifolds Reading Seminar

About the seminar:

Our goal is to cover Chapter D (Margulis Lemma), Chapter E (Space of Hyperbolic Manifolds) & Chapter C (Mostow Rigidity) from [BP] below.

References:
  1. [BP] Lectures on Hyperbolic Geometry by Benedetti and Petronio, Springer-Verlag, ISBN 3-540-55534
  2. [Bon] Low-Dimensional Geometry by Francis Bonahon, AMS, ISBN 978-0-8218-4816-6
  3. [Th] Thurston's Notes available from here .
Please read Chapter A (Hyperbolic Space) from [BP]. It is a per-requisite since the computations in it will be used throughout the book.


Time: 11:30 - 1:30, Room 4214-03 Graduate Center CUNY


Date Topic & Reference Speaker
Tuesday Jan 8th E.2 Convergence in the Geometric Topology Abhijit Champanerkar
Tuesday Jan 15th E.2 Convergence in the Geometric Topology Abhijit Champanerkar
Thursday Jan 17th E.4 Jorgensen's Theorem Abhijit Champanerkar
Tuesday Jan 22nd Chapter C Mostow Rigidity Ni Lu
Thursday Jan 24th Chapter C Mostow Rigidity Ni Lu


Schedule for Summer 2012

Tuesdays 10:30 - 12:30, Room 4214-03 Graduate Center CUNY

Time Date Topic & Reference Speaker
10:30 -12:30 Tuesday Jun 5th D.1 Margulis Lemma: Lemma D.1.2 Joe Quinn
10:30 -12:30 Tuesday Jun 12th D.1 Margulis Lemma: Lemmas D.1.3, 1.4 Nishan Chatterjee
10:30 -12:30 Tuesday Jun 19th D.1: Lemma 1.3 Discussion
10:30 -12:30 Tuesday Jun 26th D.2 Local Geometry of a Hyperbolic Manifold Joe Quinn
10:30 -12:30 Friday June 29th D.3 Ends of a Hyperbolic Manifold Abhijit Champanerkar
Monday July 2nd No seminar this week
10:30 -12:30 Tuesday July 10th D.3 Ends of a Hyperbolic Manifold Abhijit Champanerkar
10:30 -12:30 Tuesday July 17th E.1 The Chabauty and Geometric Topology Joe Quinn
11:30 -1:30 Monday July 23rd E.1 The Chabauty and Geometric Topology Joe Quinn
Monday July 30th No seminar this week
11:30 -1:30 Tuesday Aug 7th E.1 The Chabauty and Geometric Topology Joe Quinn
11:30 -1:30 Thursday Aug 9th E.2 Convergence in the Geometric Topology Abhijit Champanerkar


This seminar is organized by Abhijit Champanerkar , Ilya Kofman.
Related Seminars:
  1. Einstein Chair Mathematics Seminar, Tuesdays 1:45 pm
  2. CUNY Geometry and Topology Seminar Tuesdays 4:15 pm, Room 6496
  3. Hyperbolic Geometry Seminar Tuesdays 2:45 -3:45 pm, Room 5417.
  4. Columbia Geometric Topology Seminar Fridays 2 pm, Columbia University.