Home>People>Faculty

LIU Xiaobo
Professor
xbliu@math.pku.edu.cn
Phone :86-10-62744137
Office :78202W

Education

  Ph. D

 1994

 Mathematics

University of Pennsylvania

  B. S.

 1987

 Applied Mathematics

Tsinghua University

Research Interests

Differential Geometry and Mathematical Physics

1. Quantum Cohomology and Gromov-Witten Invariants

2. Moduli spaces of curves

3. Isoparametric submanifolds

4. Volume minimizing cycles in Riemannian manifolds

Selected Publications

  • X. Liu and G. Wang, “Connecting the Kontsevich-Witten and Hodge tau-functions by the $\widehat{GL(\infty)}$ Operators”, Comm. Math. Phys., vol. 346 (2016), pp 143-190.
  • X. Liu and X. Wang, “Genus-2 G-functions for $P^1$ orbifolds.” Advances in Mathematics, Vol. 274 (2015), pp 631-650.
  • X. Liu and X. Wang, “Conditions for the vanishing of the genus-2 G-function.” Transactions of American Mathematical Society, vol. 367 (2015), pp 8975--8996.
  • X. Liu, “Genus-1 Virasoro conjecture along quantum volume direction.” International Mathematical Research Notices, vol. 2013 issue 8 (2013), pp 1747-1760.
  • X. Liu and R. Pandharipande, “New topological recursion relations.” Journal of Algebraic Geometry, Vol. 20 (2011), 479--494.

Professional Appointments

2010-present

Chair Professor

School of Mathematical Sciences and BICMR, Peking University

2006-2015

Professor

University of Notre Dame 

1999-2006

Associate Professor

University of Notre Dame

1997-1999

Pure Math Instructor

MIT

1996-1997

Visiting Scholar

Max-Planck-Institute for Mathematics, Bonn

1995-1996

Postdoc

University of Augsburg, Germany

Honors and Awards


2006

Invited to deliver a 45-minute talk at the International Congress of Mathematicians

2000

Alfred P. Sloan Research Fellowship

1997

NSF Postdoctoral Research Fellowship

1993

Alfred P. Sloan Doctoral Dissertation Fellowship

1989

Pepper Fellowship, University of Pennsylvania

Administrative Positions

2013-present      Deputy director of Beijing International Center for Mathematical Research

2013-present      Depute director of Mathematical Institute, SMS, Peking University 

Editors

2013-present, Science China Mathematics

National and International Meeting Organizers and Session Chairs

2017/09

"BICMR & IBS-CGP Joint Workshop on SymplecticGeometry"

Beijing

Co-organizer

2017/06

Conference on"Dynamical Geometric Analysis"

Orsay, France

Co-organizer

2017/05

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2016/11

"BICMR & IBS-CGP Inaugural Joint Workshop on Symplectic Geometry"

Jeju, South Korea

Co-organizer

2016/05

Conference on "Symplectic Geometry and Mathematical Physics"

Beijing,

Co-organizer

2016/05

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2015/11

"BICMR-HCM Workshop: Beijing Meets Bonn”

Bonn, Germany

Co-organizer

2015/10

"Workshop and Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Changsha

Co-organizer

2015/05

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2014/12

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2014/11

"ICMAT-China Exploratory Workshop"

Madrid, Spain

Co-organizer

2014/05

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2013/06

Special session on "Symplectic Geometry and Mathematical Physics" at the 2nd Pacific Rim Mathematical Association Congress

Shanghai

Co-organizer

2013/06

"Young Mathematician Forum"

Beijing

Co-organizer

2013/05

"Advanced Seminar on Symplectic Geometry and Topological Field Theory"

Beijing

Co-organizer

2013/03

Conference on "Metric Geometry and Applications"

Notre Dame, USA

Co-organizer

2012/07-08

Workshop on "Topological Quantum Computation"

Beijing

Co-organizer

2012/06

Conference on "Symplectic Geometry and Mathematical Physics"

Beijing

Co-organizer

2011/06

Conference on "Quantization"

Notre Dame, USA

Co-organizer

2010/10

Workshop on "Interactions between Geometry and Analysis "

Notre Dame, USA

Co-organizer

2006/06

Workshop on "Calibrations"

AIM, USA

Co-organizer

2006/04

Special session on ``developments and applications in differential geometry'' at AMS meeting

Notre Dame, USA

Co-organizer

2004/04

"Great Lake Geometry Conference"

Notre Dame, USA

Co-organizer

2002/10

Special session on “developments and applications in differential geometry'' at AMS meeting

Boston, USA

Co-organizer

Teaching Activities(at Peking University Since 2010)

Undergraduate/Graduate course

Riemannian Geometry

2010.f

Undergraduate/Graduate course

Symplectic Geometry

2011.f, 2013.f, 2014.s, 2015.s, 2016.s, 2017.s

Research  Funding (In China since 2012)

2012-2013

Advanced Seminar on Symplectic Geometry and Topological Field Theory

National Science Foundation of China

¥100,000 rmb

PI

2013-2014

Advanced Seminar on Symplectic Geometry and Topological Field Theory

National Science Foundation of China

¥120,000 rmb

PI

2014-2015

Advanced Seminar on Symplectic Geometry and Topological Field Theory

National Science Foundation of China

¥150,000 rmb

PI

2015-2016

Advanced Seminar on Symplectic Geometry and Topological Field Theory

National Science Foundation of China

¥150,000 rmb

PI

2015-2019

SymplecticTopology and Mathematical Invariants in Gauge Field Theory

National Science Foundation of China

¥2,600,000 rmb

PI

2016-2017

Advanced Seminar on Symplectic Geometry and Topological Field Theory

National Science Foundation of China

¥150,000 rmb

PI

Invited Conference Talks (After 2010)

Perspectives of Mathematics in the 21st Century: Conference in Celebration of the 90th Anniversary of Mathematics Department of Tsinghua University”.

Apr.21-24, 2017

Beijing, China

7th international workshop on differential geometry.

Mar.23-27, 2017

Karatsu,Japan

“Moduli Spaces and Applications in Geometry, Topological, Analysis, andMathematical Physics”

Feb.27-Mar.3, 2017

Beijing,China

Conference on Geometric Analysis and Geometric Topology.

Dec.17-21, 2016

Beijing, China

"Gromov-Witten Theory, Gauge Theory and Dualities".

Jan.11-15, 2016

Kioloa,Australia

BICMR-HCM workshop: Beijing meets Bonn.

Nov.2-3, 2015

Bonn, Germany

Conference on “Symplectic Geometry and Mathematical Physics“.

Jun.28-Jul.1,2015

Chengdu, China

Annual Meeting of Math-Physics committee of the Association of the Thousand-People Plan.

Dec. 13, 2014

Hangzhou, China

Workshop on Geometry and Mathematical Physics

Jun.13-15, 2014

Nanjing, China

The 8th Pacific Rim Complex Geometry Conference

Aug. 4-9, 2013

Dalian, China

The 8th China-Japan Friendship Conference on "Differential Geometry".

Sept. 7-13, 2012

Chengdu, China

"The Seminaire Itinerant Geometry and Physics"

Aug.6-10, 2012

Crete, Greece

Workshop on "PDE and Applications"

Jun. 26-Jul.1, 2012

Xiamen, China

Workshop on "Supersymmetry and Invariants"

Jun.18-24, 2012

Tianjin, China

Plenary talk at the 10th Pacific Rim Geometry Conference.

Dec.1-9, 2011

Osaka and Fukuoka, Japan

Conference on Metric Geometry and Applications

Jul.26-29, 2011

Nanjing, China

4th International Workshop on Nonlinear Mathematical Physics and 11th National Conference on Integrable Systems

Jul.25-29, 2011

Wuhan, China

Conference "Symplectic Geometry and Related topics 2011"

May.23-27, 2011

Chengdu, China

Annual Conference of "Mathematics and Its Applications", Key laboratory of Chinese Ministry of Education, Peking University

Dec.18, 2010

Beijing, China