Tian Yang

Szego Assistant Professor, Stanford University

Mailing address

Department of Mathematics   Stanford University

Building 380

Stanford, CA 94305

     Office: Building 380, 382-F 


     Mobile: (732) 476-8904 


     Email: yangtian at math



My Curriculum Vitae and Research Statement.

Service to Mathematical Community: I am a reviewer for Mathematical Reviews and Zentralblatt MATH.

I am an organizer of the Third GEAR Junior Retreat.

Pulications:

On Type-Preserving Representations of the Four-Punctured Sphere Group, Geom. Topol. 20 (2016) 1213–1255.

Joint with Julien Roger, The Skein Algebra of Arcs and Links and the Decorated Teichmuller Space, J. Differential Geom. 96(2014), no.1, 95-140.

A Deformation of Penner's Simplicial Coordinate, J. Differential Geom. 89(2011), no.3, 529-551.

Joint with Feng Luo and Stephan Tillmann, Thurston's Spinning Construction and Solutions to the Hyperbolic Gluing Equations for Closed Hyperbolic 3-Manifolds, Proc. Amer. Math. Soc. 141(2013), 335-350.

A Batalin-Vilkovisky Algebra Structure on the Hochschild Cohomology of Truncated Polynomials, Topology Appl. 160(2013), no. 13, 1633-1651.

Preprints:

Joint with Sara Maloni and Frederic Palesi, "On type-preserving representations of three-puncture projective plane group", in preparation.

Joint with Renaud Detcherry and Efstratia Kalfagianni, Turaev-Viro Invariants, Colored Jones Polynomials and Volume.

Joint with Qingtao Chen, Volume Conjectures for the Reshetikhin-Turaev and the Turaev-Viro Invariants.

Joint with Feng Luo, Volume and Rigidity of Hyperbolic Polyhedral 3-Manifolds.

Joint with Ruifeng Qiu and Faze Zhang, Angle Structures and Hyperbolic 3-Manifolds with Totally Geodesic Boundary.

On the Hyperbolic Gluing Equations and Representations of Fundamental Groups of Closed 3-Manifolds.

Lecture Notes:

Joint with Feng Luo and Thomas Kwok-Keung Au, Lectures on the Mapping Class Group of a Surface, in Transformation Groups and Moduli Spaces of Curves, Adv. Lect. Math. (ALM), 16, pp 21-61, Int. Press, Somerville, MA, 2011.

Spring 2016, Math284-01: Topics in Geometric Topology: An Introduction to Quantum Topology. The notes of my lectures 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.

Talks:

2017

September 9-10, invited speaker, AMS 2017 Fall Central Sectional Meeting, Special Session on Invariants of Links and 3-Manifolds, University of North Texas, Denton, TX


August 6-12, invited speaker, GEometric structures And Representation varieties (GEAR Network), Third GEAR Retreat, Stanford University, Stanford, CA.

April 3, seminar talk, Geometry-Topology Seminar, University of Maryland, College Park, MD.


February 6, colloquium talk, Colloquium, University of Hawaii at Manoa, Honolulu, HI.


January 30, colloquium talk, Colloquium, Louisiana State University, Baton Rouge, LA.


January 18, colloquium talk, Colloquium, Texas A&M University, College Station, TX.


2016

December 18-19, invited speaker, 2016 Young Mathematican Forum, Beijing International Center for Mathematical Research, Beijing, China.

December 12, colloquium talk, Colloquium, Temple University, Philadelphia, PA.

December 9, seminar talk, Geometry Seminar, Texas A&M University, College Station, TX.


December 8, seminar talk, Groups and Dynamics Seminar, Texas A&M University, College Station, TX.


November 22, seminar talk, Geometry Seminar, University of Virginia, Charlottesville, VA.


November 8, seminar talk, Topology Seminar, University of Oregon, Eugene, OR


October 31, seminar talk, The Joint Los Angeles Topology Seminar, University of Southern California, Los Angeles, CA.


September 24-25, invited speaker, AMS 2016 Fall Eastern Sectional Meeting, Special Session on Decomposing 3-manifolds, Bowdoin College, Brunswick, ME.


July 24-30, contributed speaker, Workshop on Grothendieck-Teichmüller Theories, Chern Institute of Mathematics, Nankai University, Tianjin, China.

July 17-23, contributed speaker, Knots in Hellas 2016, International Olympic Academy, Ancient Olympia, Greece.

June 13-15, invited speaker, 2016 International Conference on Low-dimensional Topology, Southwest Jiaotong University, Chengdu, China.

April 13, seminar talk, Geometry and Topology Seminar, Michigan State University, East Lansing, MI.

March 11-13, invited speaker, Advances in Quantum and Low-Dimensional Topology 2016, University of Iowa, Iowa City, IA.

March 10, colloquium talk, Mathematics Colloquium, Uinversity of Iowa, Iowa City, IA.

March 8, seminar talk, Baby Topology Seminar, Uinversity of Iowa, Iowa City, IA.

January 11-15, invited speaker, Tsinghua Sanya International Mathematics Forum, Teichmuller Theory and Low Dimensional Topology, Yau Mathematical Sciences Center, Tsinghua University, Sanya, China.

January 8, seminar talk, Informal Geometry & Topology Seminar, Stanford University, Stanford, CA.

January 6-9, invited speaker, 2016 Joint Mathematics Meetings, Special Session on Topological Representation Theory, Washington State Convention Center, Seattle, WA.


2015

November 14-15, invited speaker, AMS 2015 Fall Eastern Sectional Meeting, Special Session on Geometry of groups, surfaces and 3-manifolds, Rutgers University, New Brunswick, NJ.


October 6, seminar talk, Topology Seminar and Station Q Seminar, University of California, Santa Barbara, Santa Barbara, CA.

October 5, seminar talk, Geometry and Topology Seminar, University of Southern California, Los Angeles, CA.


September 30, seminar talk, Topology Seminar, University of California, Berkeley, Berkeley, CA.


September 29, seminar talk, Geometry/Topology Seminar, University of California, Davis, Davis, CA.


September 15, seminar talk, Topology Seminar, Beijing University, Beijing, China.


August 10-14, invited speaker, Invariants in Low Dimensional Geometry, Gazi University, Ankara, Turkey. The SLIDES of my talk.


July 27-31, invited speaker, New Developments in TQFT, Center for Quantum Geometry and Moduli Spaces, Aarhus, Denmark. The VIDEO and SLIDES of my talk.


July 15-22, invited speaker, First Encounter to Quantum Topology, Center for Mathematical Challenges (CMC), KIAS, Seoul, Korea. The VIDEOS 1 2 of my talk.


May 29,  seminar talk, Geometry and Topology Seminar, California Institute of Technology,  Pasadena, CA.

March 10, seminar talk, Topology/Geometry Seminar, Rutgers University, New Brunswick, NJ.

March 6, seminar talk, Geometry & Analysis Seminar, University of California, Santa Cruz, Santa Cruz, CA.

February 26, seminar talk, Topology Seminar, Oklahoma State University, Stillwater, OH.

January 26-29, plenary speaker, The Tenth East Asian School of Knots and Related Topics, East China Normal University, Shanghai, China.

2014

August 28-31, invited speaker, China-Russia Workshop on Knot Theory and Related Topics, Beijing International Center for Mathematical Research, Beijing, China.

April 25, seminar talk, Informal Geometry & Topology Seminar, Stanford University, Stanford, CA.

April 18, seminar talk, Informal Geometry & Topology Seminar, Stanford University, Stanford, CA.

March 24, seminar talk, Geometry Seminar, Purdue University, West Lafayette, IN.

March 14, seminar talk, Geometry and Topology Seminar, California Institute of Technology, Pasadena, CA.

2013

October 18-20, invited speaker, AMS 2013 Fall Central Sectional Meeting, Special Session on Geometric Aspects of 3-Manifold Invariants, Washington University, St. Louis, MO.

September 25, seminar talk, Topology Seminar, University of California, Berkeley, Berkeley, CA.

July 29-31, invited speaker, 2013 Conference on Low-dimensional Topology, Liaoning Normal University, Dalian, Liaoning, China.

April 26-28, contributed speaker, Workshop on Minimal Surfaces, 3-Manifold Topology and Related Topics, Massachusetts Institute of Technology, Cambridge, MA.

February 19, seminar talk, Geometry/Topology Seminar, Rutgers University, New Brownswick, NJ.

February 12, seminar talk, Geometry/Topology Seminar, Rutgers University, New Brownswick, NJ.

January 9-12, invited speaker, AMS 2013 Joint Mathematics Meetings, Special Session on Geometric and Analytic Methods in Teichmuller Theory and Hyperbolic Geometry, San Diego Convention Center, San Diego, CA. The SLIDES of my talk.

2012

July 23-August 3, junior speaker, GEometric structures And Representation varieties (GEAR Network), Junior Retreat 2012, University of Illinois in Urbana-Champaign, Urbana, IL. The VIDEO of my talk.

July 15-18, invited speaker, 2012 Conference on Low-dimensional Topology, Fudan University, Shanghai, China.

May 25-27, contributed speaker, 2012 Lehigh University Geometry and Topology Conference, Lehigh University, Bethlehem, PA.

February 7, seminar talk, Geometry and Topology Seminar, Graduate Center of CUNY, New York, NY.

January 24, seminar talk, Geometry-Topology Seminar, Temple University, Philadelphia, PA.

2011

December 9, seminar talk, "A Deformation of Penner's Simplicial Coordinate," Complex Analysis and Dynamics Seminar, Graduate Center of CUNY, New York, NY.

December 2-4, Distinguished Graduate Student Speaker (50 minutes), Knots in Washington XXXIII, George Washington University, Washington DC. A POSTER of my talk.

November 4, seminar talk, "The Skein Algebra of Punctured Surfaces," Geometry and Topology Seminar, California Institute of Technology, Pasadena, CA.

November 2, seminar talk, Geometry and Topology Seminar, University of Southern California, Los Angeles, CA.

November 1, seminar talk, Topology Seminar, University of California, Santa Barbara, Santa Barbara, CA.

March 24-27, invited speaker, The Triennial Ahlfors-Bers Colloquium, Rice University, Houston, TX.

March 14-16, invited speaker, "A Deformation of Penner's Coordinate of the Decorated Teichmuller Space," Graduate Student and Post-Doc Workshop on Low Dimensional Topology and Geometry, Princeton University, Princeton, NJ.

2010

May 22-23, invited speaker, "On the Hyperbolic Gluing Equations and Representations of Fundamental Groups of Closed $3$-Manifolds," AMS 2010 Spring Eastern Sectional Meeting, Special Session on Invariants of Knots, Links, and 3-Manifolds, Newark, NJ.

2007

December 8-10, invited speaker, "A BV structure on the Hochschild cohomology of truncated polynomials," CMS Winter 2007 Meeting, Homotopy Theory Session, The University of Western Ontario, London, Ontario, Canada.

Mini-courses:

Spring 2016, Math284-01: Topics in Geometric Topology.

August 24-September 18, 2015, Summer Course, Mathematical Sciences Center, Tsinghua University, Beijing, China. The NOTES of my lectures.

July 17-August 14, 2014, Summer Course, Mathematical Sciences Center, Tsinghua University, Beijing, China.

July 15-26, 2013 Summer School on Low-dimensional Topology, Liaoning Normal University, Dalian, Liaoning, China.

July 8-12 and August 5-9, 2013, Summer School for Top-notch Undergraduate Students, Fudan University, Shanghai, China.

July 8-13, 2012 Workshop on Low-dimensional Topology, Soochow University, Suzhou, Jiangsu, China. The notes 1, 2, 3, 4 of my lectures.