Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Algebraic Geometry
Algebraic Geometry

Research Group

  • Algebraic Geometry
  • Algebraic Topology and its Applications
  • Analysis and Geometry
  • Artificial Intelligence and Machine Learning
  • Computational Mathematics
  • Digital Economy
  • General Relativity and Partial Differential Equations
  • Mathematical Physics
  • Number Theory and Representation Theory
  • Quantum Fields and Strings
  • Quantum Symmetry
  • Statistics, Probability and Data Science
Introduction
The main interests of the algebraic geometry group are the followings:
1. Moduli theory: Moduli stacks of subschemes, vector bundles, sheaves, and objects in derived category. Gromov-Witten and Donaldson-Thomas theory, wallcrossing phenomena, derived algebraic geometry, Super geometry and quantum cohomology.
2. Birational geometry: Singularities, minimal model program
3. Topology of algebraic varieties: Hodge theory, algebraic cycles, motivic homotopy theory
4. Algebraic analysis: D-modules and perverse sheaves
5. Arithmetic geometry: Shimura varieties, Artin-Mazur formal groups
6. Application to physics: Topological string theory, Gauge theories, super Yang-Mills theory, Vafa-Witten and Kapustin-Witten theory, and Higgs bundles on algebraic curves and higher-dimensional varieties
7. Application to computer science: Commutative Algebra, Algebraic geometric implementation of codes, quantum codes
PI
Caucher Birkar

Caucher Birkar

Professor

Artan Sheshmani

Artan Sheshmani

Professor

Group Assistant
Yu Xiang Liu

Yu Xiang Liu

Postdoc

Administrator
Mao Sheng

Mao Sheng

Professor

Faculty
Anatoli Kirillov

Anatoli Kirillov

Professor

William Donovan

William Donovan

Assistant Professor

Yu Wei Fan

Yu Wei Fan

Assistant Professor

Chuang Qiang Hu

Chuang Qiang Hu

Assistant Professor

Peter Koroteev

Peter Koroteev

Assistant Professor

Svyatoslav Pimenov

Svyatoslav Pimenov

Assistant Professor

Da Li Shen

Da Li Shen

Assistant Professor

Tao Su

Tao Su

Assistant Professor

Yuji Tanaka

Yuji Tanaka

Assistant Professor

Nan Jun Yang

Nan Jun Yang

Assistant Professor

Bei Hui Yuan

Bei Hui Yuan

Assistant Professor

Postdocs
Yang He

Yang He

Postdoc

Jacob Kryczka

Jacob Kryczka

Postdoc

Aimeric Malter

Aimeric Malter

Postdoc

Angel Toledo Castro

Angel Toledo Castro

Postdoc

Ioannis Tsouknidas

Ioannis Tsouknidas

Postdoc

Xiao Peng Xia

Xiao Peng Xia

Postdoc

Visitors

Ping Xu

Visiting Scholar

Beijing Institute of Mathematical Sciences and Applications
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

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