# Yaping Yang

I am currently a Senior Lecturer at the University of Melbourne. I am a member of the Representation Theory Group .

Curriculum Vitae (last update: Dec 21, 2022).

I obtained my Ph.D degree in May 2014 from Northeastern University, under the supervision of Prof. Valerio Toledano Laredo. After my PhD, I spent a semester in 2014 as a postdoc at Mathematical Sciences Research Institute, Berkeley, and I worked as a visiting assistant professor under the supervision of Prof. Ivan Mirković at University of Massachusetts, Amherst (2014-2017).

My profile at the University of Melbourne https://ms.unimelb.edu.au/people/profile?id=2268

The Representation theory seminar at Melbourne: Representation Theory Seminar

# Contact Information

Peter Hall building, Office 165

School of Mathematics and Statistics

The University of Melbourne

813 Swanston Street, Parkville VIC 3010.

Email:

yaping.yang1 (at) unimelb.edu.au

Phone: ＋61-0383443077

# Research Interests

My research lies in the area of Lie algebras, representation theory, quantum groups, and the related geometry and topology. More specifically:

I have an on-going project joint with Valerio Toledano Laredo studying the monodromy representation of elliptic braid groups, which comes from the Knizhnik-Zamolodchikov-Bernard equations on the moduli space of elliptic curves.

I also have an on-going project joint with Gufang Zhao. We apply the tool of cohomology theories to study quantum groups and Nakajima quiver varieties.

I am working with Marc Levine and Gufang Zhao about the elliptic cohomology theory in the motivic setting.

I am also working with Ivan Mirković and Gufang Zhao about higher dimensional loop Grassmannians.

Recently, I work with Miroslav Rapčák, Yan Soibelman, and Gufang Zhao on vertex algebras associated to toric Calabi-Yau 3-folds. This is closely related to the moduli space of spiked instantons of Nekrasov.

# Students:

Davood Nejaty, PhD student (2022-), co-supervised (as a cosupervisor) with Gufang Zhao and Steven Rayan.

Grace Yuan, MSc student (2023-), co-supervised with Arun Ram, Daniele Celoria, Marcy Robertson.

Oscar Rochanakij, MSc student (2023-), co-supervised with Arun Ram, and June Park.

Nicholas Macleod, PhD student (2018- 2023), co-supervised (as a cosupervisor) with Omar Foda, and Johanna Knapp. Nick's thesis: AGT for N = 2 SU(N) Gauge Theories on C^2/Z_n and Minimal Models.

Michael Swaddle, PhD student (2018-2023 ), co-supervised (as a cosupervisor) with Paul Norbury.

Tyson Field, MSc 2018, co-supervised with David Ridout. Tyson's research presentation slides: Wess-Zumino-Witten Models and the Knizhnik-Zamolodchikov Equations

Finley Mcglade, undergraduate student, co-supervised with Arun Ram. AMSI Vacation Research Scholarship: Nov. 6-Dec.1, 2017, and Jan. 23 to Feb. 8, 2018: Finn's Slides.

Haris Rao, undergraduate student, co-supervised with Arun Ram. AMSI Vacation Research Scholarship: Dec 2021-Feb 2022.

Jiapeng Liu, undergraduate student, Vacation Research Scholarship: Jan 2023. Jiapeng's poster: Partitions and Hilbert scheme of points on surfaces.

# Education:

2009-2014: Ph.D., Northeastern University, Boston, MA. Advisor: Valerio Toledano Laredo

2005-2009: B. S. Zhejiang University, Hangzhou, China. Shiu-Chun Wong’s undergraduate student Seminars.

# Employment:

2020-present: Senior Lecturer, The University of Melbourne.

Aug. 2017- 2020: Lecturer, The University of Melbourne, Australia.

Jan. 2015-Aug. 2017: Visiting Assistant Professor, University of Massachusetts, Amherst, MA. Postdoc Mentor: Ivan Mirković

Aug. 2014-Dec. 2014: The Mathematical Sciences Research Institute, Berkeley, CA. Postdoc Mentor: Edward Frenkel. https://www.msri.org/programs/276

# Visiting Positions:

Feb.5-Feb.25, 2023: Kavli IPMU, RIKEN, Kyoto University.

Dec 23, 2019-Feb.29, 2020: Kavli Institute for the Physics and Mathematics of the Universe (IPMU), Japan.

Feb.9- Mar.3, 2019: Perimeter Institute for Theoretical Physics, Waterloo, Canada.

May 20-July.15, 2018: IST, Austria.

Jan.3- Feb.28, 2018: Perimeter Institute for Theoretical Physics, Waterloo, Canada.

Nov.1-Nov. 25, 2017: IST, Austria.

Oct. -Nov.1, 2017: Hausdorff Research Institute for Mathematics, Bonn, Germany.

June -July 31, 2017: Max Planck Institute for Mathematics, Bonn, Germany.

May 17-Aug. 3, 2016: Universitat Duisburg-Essen, Fakultat fur Mathematik, Essen, Germany.

Mar 14-Mar 19, 2016: Perimeter Institute for Theoretical Physics, Waterloo, Canada.

Feb 7-Feb 12, 2016: The Banff International Research Station: Vertex Algebras and Quantum Groups, Alberta, Canada.

Jan3-Jan 9, 2016: Simons center for Geometry and Physics, Stony Brook.

June -Aug. 2015: Max Planck Institute for Mathematics, Bonn, Germany.

June-July. 2015: Park City Mathematics Institute, Utah.

May-Aug., 2012: Universitat Duisburg-Essen, Fakultat fur Mathematik, Essen, Germany.

May-July, 2013: Universitat Duisburg-Essen, Fakultat fur Mathematik, Essen, Germany.

# Fellowships and Awards

2021-2023: Discovery Project DP210103081 (with Nora Ganter, Gufang Zhao and Paul Zinn-Justin). Elliptic Schubert Calculus.

2020-2022: Andrew Sisson Fellowship at the University of Melbourne.

May 2019-May 2022：DECRA 190101231 Integrable systems from gauge theories.

Jan.-Feb.,2018, 2019: Emmy Noether Fellowship - Perimeter Institute

Jul.2016-Jul.2018: AMS Simons Travel Grant.

Aug.-Dec., 2014: Cha-Chern Scholarship, the Mathematical Sciences Research Institute.

May-June, 2013: Ling-Ma Fellowship, Northeastern University.

# Professional service

### 2021-present

Research and Industry Committee, the University of Melbourne.

### The Year 2023

Co-organizer of the conference String Math 2023, 10-14 July 2023, the University of Melbourne. https://stringmath2023.sciencesconf.org/

### The Year 2022

Co-organizer of the Matrix program ”Frontiers in Representation theory”, 14 Feb 2022 - 25 Feb 2022. https://www.matrix-inst.org.au/events/frontiers-in-representation-theory/.

### During 2020-2021

Engagement and Publicity Committee, the University of Melbourne.

### The Year 2020

Co-organizer of the workshop on "Elliptic cohomology and physics" May 25-28 2020, Perimeter Institute, Canada. https://www.perimeterinstitute.ca/conferences/elliptic-cohomology-and-physics.

### The Year 2019

Co-organizer of the workshop on "Geometric Representation Theory and Quantum Field Theory" December 16-20 2019, TSIMF, Sanya, China. https://ymsc-strings.github.io/events/GeoRepSanya/index.html

Co-organizer of the workshop "Cohomological Hall algebras in Mathematics and Physics" at Perimeter Institute, February 25-March 1, 2019 https://www.perimeterinstitute.ca/conferences/cohomological-hall-algebras-mathematics-and-physics

### The Year 2018

Co-organiser of the session on the topic of Representation Theory, Australian Mathematical Society Annual Meeting, the University of Adelaide. http://maths.adelaide.edu.au/austms2018/

Co-organizer of the Representation Theory Seminar at the University of Melbourne, Australia.

### The Year 2017

A panel member for the job hiring at the University of Melbourne, Australia.

Co-organizer of the Representation Theory Seminar at the University of Melbourne, Australia.

### The Year 2012-2014

Co-organizer of the Graduate Student Research Seminar at Northeastern University.