Bong Lian
Representation Theory, Calabi-Yau Geometry, and String theory
Bong Lian, Vice President of Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Before joining SIMIS, he has been a professor at Brandeis University in Boston, Massachusetts. In 1991, he received his PhD in physics from Yale University. He was a postdoctoral fellow at the University of Toronto, Yale University, and Harvard University. He joined the Mathematics Department at Brandeis in 1995 and has remained there since. Professor Lian’s research is at the intersection of mathematics and physics, and he is interested in questions about deformations of Calabi-Yau manifolds. His research interests also include representation theory and string theory.
Kefeng Liu
Geometry, topology and mathematical physics
Professor Kefeng Liu received his PhD from Harvard University in 1993 under the supervision of S.-T. Yau. Liu has made first class contributions to differential geometry, topology and mathematical physics. He was an invited speaker of the 2002 International Congress of Mathematicians, received the Morningside Gold Medal of Mathematics which is the highest honor of Chinese descendants in mathematics, and was rewarded the 2004 top 10 scientific advances of the Education Ministry of China, the famous Guggenheim fellowship, the Sloan fellowship and the Terman fellowship. Since 2002, he has been editor-in-chief of the top mathematical journal “Communications of Analysis and Geometry”.
Huaxin Lin
Operator Algebras, C*-algebras and their applications
Huaxin Lin will join SIMIS in 2024 as a professor. Prior to this, Lin has been a full professor in University of Oregon and also served for East China Normal University. He received his Ph. D. in Purdue University in 1986. His main research field is operator algebras and its applications. Lin became an inaugurate class Fellow of American Mathematical Society in 2013. He was awarded the First Prize of Shanghai Science and Technology Progress Award in 2005, and (shared with G. Gong and Z. Niu) the Frontiers of Science Award at International Congress of Basic Science in 2023.
Chris Brav
Derived and non-commutative algebraic geometry
Christopher Brav will join the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) as Professor from August 2024. Currently he is a Lead Scientific Researcher at the Centre of Pure Mathematics at the Moscow Institute of Physics and Technology. He obtained his Ph.D. in Mathematics at Queen’s University in 2008, after which he was a post-doc at the University of Toronto, Leibniz University Hannover, and Oxford University. Before moving to the Faculty of Mathematics at the Higher School of Economics in Moscow, he spent a year as a member of the Institute for Advanced Study in Princeton.
Professor Brav is working on the relation between Calabi-Yau categories (non-commutative analogues of Calabi-Yau manifolds) and shifted symplectic geometry of moduli spaces, as well as on using condensed mathematics to study infinite dimensional shifted symplectic spaces appearing in representation theory and mathematical physics. His work has been published in leading journals including Compositio Mathematica, Geometry and Topology, Journal of the American Mathematical Society, and Selecta Mathematica.
Andrey Losev
Mathematical Physics, String theory
Andrey Losev is a Professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Prior to joining SIMIS, he served as a Professor of Mathematics and a Research Fellow of International Laboratory for Mirror Symmetry and Automorphic Forms at High Economy school in Moscow (HSE). He obtained his Ph.D in theoretical physics at Institute for Theoretical and Experimental Physics (ITEP) in 1989.
Professor Losev’s research interests include string theory, M-Theory, topological quantum field theory, quantum field theory. He has published over 60 papers in leading journals.
Chung Pang Mok
Algebraic Number Theory, The Langlands’ Program, Asymptotic Problems in Varieties over Finite Fields and Representation Theory
Chung Pang Mok graduated from Harvard University in 2007 under the supervision of Professor Barry Mazur. He works on algebraic number theory and the Langlands Program, with emphasis on the theory of p-adic L-functions, p-adic automorphic forms, Arthur trace formula, and endoscopy theory. In recent years he also used the techniques of finite fields to construct high dimensional pseudo-random vectors, with numerous applications to Monte Carlo methods. He has previously held academic positions in a number of institutions including the Chinese University of Hong Kong, McMaster University, and Purdue University.
Currently he is interested in asymptotic problems in varieties over finite fields and in representation theory.
Jun Zhang
Information Geometry, Computation Neuroscience, Cognitive Science and Artificial Intelligence
Jun Zhang is a Professor at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) and one of its co-founders. He is currently on leave from the University of Michigan, Ann Arbor, where he has worked since 1992 as an Assistant, Associate, and Full Professor in the Department of Psychology, with adjunct appointments in the Department of Mathematics, Department of Statistics, and Michigan Institute of Data Sciences. He received his PhD in Neuroscience from the University of California, Berkeley in 1991. During sabbatical years, he has held various visiting academic positions at the University of Melbourne (Australia), CNRS (France), University of Waterloo (Canada), RIKEN Brain Science Institute (Japan), CMSA at Harvard, etc. Professor Jun Zhang’s scholarly contributions have been in the various fields of computation neuroscience, cognition and behavior modeling, machine learning, statistical science, complex systems, etc, and is well known in the field of mathematical psychology. In recent years, his research has focused on the interdisciplinary subject of Information Geometry.
Adjunct Professors
Yi Li
Differential Geometry, Geometry Flows
Yi Li is a Professor of Mathematics at Southeast University and Shing-Tung Yau Center of Southeast University. He obtained his Ph.D in mathematics at Harvard in 2012.
Professor Li’s research interests include differential geometry, complex geometry, geometric analysis, geometric flow, nonlinear geometric type PDEs, general relativity. He has published over 25 papers in leading journals.
Hao Xu
Differential Geometry, Moduli Spaces of Curves
Hao Xu is a Professor at Center of Mathematical Sciences, Zhejiang University. He obtained his Ph.D in 2009. His research interests include Kahler geometry, intersection theory on moduli spaces of curves. He has published over 30 papers in leading journals like JDG, CMP, Crelle’s Journal.
Feida Jiang
完全非线性偏微分方程、最优传输问题和几何光学问题
Nafiz Ishtiaque
Mathematical Physics, String Theory
My research primarily focuses on the study of integrability within gauge theory and string theory. Integrable models, like integrable spin chains, are distinguished by their exactly solvable dynamics. I aim to develop systematic methods to identify these integrable subsectors within broader quantum field theories and string theories. Using tools such as supersymmetric localization and holomorphic-topological twists, I explore string and M-theoretic constructions of integrable models and their duality transformations.
The concept of symmetry, especially in the form of quantum groups, has been fundamental in understanding integrability. Given the recent developments in generalized or categorical symmetry, I am also interested in investigating how this broader concept of symmetry impacts integrable dynamics.
Mauricio Andrés Romo Jorquera
String Theory, Physical Mathematics
Mauricio Romo is an Associate Professor at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) . He obtained his Ph.D. in Theoretical Physics at University of California, Santa Barbara in 2012, after which he was a post-doc at Kavli IPMU and IAS.
Professor Romo works on the interface of physics and mathematics. His research have been focused on the relation between 2-dimensional quantum field theories and categorical and geometric aspects of Calabi-Yau manifolds. These includes, but is not limited to, mirror symmetry, quantum geometry and BPS states.
Chong You
Statistics/Biostatistics
Chong You is an Associate Professor jointly appointed by Fudan University and SIMIS. Her primary research interests include variational Bayes, mixture models, variable selection, disease prediction, diagnostic statistics and infectious disease modeling. Her work has been published in top journals such as Science Advances, Journal of the American Statistical Association (JASA), and Biometrics.
Hamed Adami
Theoretical Physics
My research focuses on the emergence of infinite-dimensional symmetries that arise at spacetime boundaries in gauge and gravity theories. Specifically, I am interested in their manifestation at the near-horizon region of black holes or the asymptotic boundary of flat and/or (A)dS spacetimes. My research aims to unveil a holographic description of gravity, the fluid/gravity correspondence, and gain insights into the quantum properties of black holes. I was a Postdoctoral Research Scholar at Yau Mathematical Sciences Center of Tsinghua University, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, and Institute For Research In Fundamental Sciences, School of Physics.
Jean-Emile Bourgine
Mathematical Physics, Integrable Systems, Quantum Groups, String Theory
Asst. Prof Bourgine’s research interests lie at the interface of quantum integrable systems, string theory and representation theory of quantum groups. During his career, he has published a number of articles on a variety of topics in mathematical physics, including random matrix models, 2D quantum gravity, lattice statistical models, integrable hierarchies, supersymmetric gauge theories, quantum algebras and string theory. He is currently working mainly on the representation theory of quantum toroidal algebras, on which he has obtained several important new results that find application in the description of brane systems in string theory.
Asst. Prof Bourgine did his PhD at Institut de Physique Théorique (IPhT) CEA-Saclay, he graduated from Université Paris Sud XI (now Paris-Saclay) in 2010. He previously held research positions in South Korea (Sogang University, APCTP, KIAS), Italy (INFN) and Australia (University of Melbourne).
Lu Cao
Mean Field Games, Mechanism Design, Privacy Computing
Lucy is an Assistant Professor jointly appointed at Fudan University and the Shanghai Institute for Mathematical Sciences. She holds a Ph.D. in Applied Mathematics from the University of Sydney, specializing in Mean Field Games, Mechanism Design, and interdisciplinary research that connects mathematical sciences with planetary physics. Lucy gained extensive teaching experience at the University of Sydney before serving as a Postdoctoral Fellow at the Beijing International Center for Mathematical Research, Peking University. In addition to her academic career, Lucy has industry experience as Head of Research at a Sydney-based investment firm, where she produced research reports, developed investment strategies, and contributed to portfolio growth.
Shi Cheng
Supersymmetric gauge theories and related low-dimensional manifolds
Shi Cheng is an Assistant Professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Before joining SIMIS, he served as a Postdoctoral Research Scholar at Fudan University. He obtained his Ph.D in physics at University of Warsaw in 2022.
Professor Cheng’s current research interests mainly foucs on supersymmetric gauge theories and related low-dimensional manifolds.
Xuefeng Feng
Mathematical Physics, General Relativity
Now I am a postdoc at Yau Mathematical Sciences Center of Tsinghua University and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA). I obtained my Ph.D in mathematics at Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences(CAS).
My current research interests mainly foucs on mathematical relativity, numerical relativity, and gravitational waves.
Xiaolong Hans Han
Hyperbolic geometry, 3-manifolds
Xiaolong Han is an Assistant professor at Shanghai Institute of Mathematics and Interdisciplinary Sciences. Before joining SIMIS, he was a postdoc at Yau Mathematica Sciences Center at Tsinghua University. In 2021, he obtained his PhD degree from University of Illinois Urbana-Champaign. His research interest is low-dimensional manifolds and hyperbolic geometry.
Yiyu Lin
Theoretical Physics
My main research interest is to investigate how Einsteinian spacetime might be structured from quantum entanglement, particularly in the framework of holographic duality, and based on the perspective of quantum information theory. I am interested in multiple topics or new tools that may be related to quantum gravity, such as holographic dualities, conformal field theory, tensor networks, quantum circuits, entanglement entropy, complexity, spin network, etc.
Vyacheslav Lysov
Mathematical Physics, Theoretical Physics
Vyacheslav Lysov is an Assistant Professor at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Before joining SIMIS, he was an Arnold Fellow at the London Institute for Mathematical Sciences (LIMS) in the UK. He obtained his Ph.D. in physics at Harvard in 2014. He was a postdoctoral fellow at Harvard, Caltech, and Okinawa Institute of Science and Technology (OIST).
Professor Lysov’s current research interests mainly focus on tropical mirror symmetry and other related interdisciplinary topics in theoretical physics and mathematical physics.
Wenjie Ma
Theoretical Physics
Wenjie Ma is an Assistant Professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Prior to joining SIMIS, he served as a Postdoctoral Research Scholar at Yau Mathematical Sciences Center of Tsinghua University and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA). He obtained his Ph.D in physics at Laval University in 2021.
Professor Ma’s current research interests mainly foucs on conformal field theory and the principle of holography, including non-perturbative booststrap program, AdS/CFT, dS/CFT as well as celestial holography.
Kang Niu
Tomoki Nosaka
Mathematical Physics, Theoretical Physics, String Theory
Tomoki Nosaka is an Assistant Professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Prior to joining SIMIS, he served as a Postdoctoral Fellow at Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences in Beijing. He obtained his Ph.D in physics at Kyoto University in 2016.
Professor Nosaka’s research interests are string theory, M-theory, supersymmetric gauge theories, holography and mathematical physics. He is also interested in quantum chaos and quantum information theory with the motivations to understand quantum gravity through the holography. Recently he is particularly working on the exact calculations in matrix models arising from supersymmetric gauge theories to reveal new mathematical structures behind these objects.
Anurag Rao
Diophantine Approximation, Geometry of Numbers, Lie Groups
Anurag Rao obtained a PhD in mathematics from Brandeis University in 2020. Following that he did postdoctoral work at Wesleyan University, Tata Institute of Fundamental Research, Mumbai University, Israel Institute of Technology and Peking University. His current work is in dynamical systems arising from Lie groups and applications to number theory.
Ce Wang
Quantum Walk, Stochastic Process, Mathematical physics
Before joining SIMIS, Ce Wang was a postdoc at Yau Mathematical Sciences Center at Tsinghua University. His research interest is quantum walk on graph, quantum information and applied stochastic process etc.
Long Wang
Algebraic Geometry
Long Wang will join Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) as an assistant professor in 2025. He obtained his Ph.D in mathematics at University of Tokyo in 2023, and then joined Shanghai Center for Mathematical Sciences of Fudan University as a postdoctoral fellow. His current research interests mainly foucs on birational geometry of Calabi-Yau varieties and dynamics on algebraic varieties.
Jiaming Xia
Probability and Statistical Mechanics
Yuan Xin
Theoretical Physics
Yuan obtained Ph. D. degree at Boston University with Liam Fitzpatrick. After that he worked at Yale University and Carnegie Mellon University as postdoctoral fellow. Yuan’s research focuses on novel non-perturbative methods in quantum field theory and quantum many-body physics and applications in understanding phenomena such as criticality, symmetry breaking/emergence, and confinement. Recently his work involves using bootstrap, Hamiltonian truncation, and DMRG to study low dimension quantum systems.
Yehao Zhou
Hao Zou
Theoretical Physics
Hao Zou is an Assistant Professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Before joining SIMIS, he served as a joint Postdoc at Yau Mathematical Sciences Center (YMSC) of Tsinghua University and Beijing Institute of Mathematical Sciences and Applications (BIMSA). He obtained his Ph.D in physics at Virginia Tech in 2021.
Professor Zou’s current research interests mainly foucs on supersymmetric theories and other related interdisciplinary topics in theoretical physics and mathematical physics.
Miguel Tierz
Random matrix theory, Gauge theory, Strongly-correlated systems, Mathematical problems in the development of quantum technologies
The researcher’s academic background is in mathematical physics, holding both a BSc and a PhD in theoretical/mathematical physics. Since obtaining his PhD degree in 2008 at Universitat de Barcelona (Spain), has been postdoctoral researcher at Brandeis University (Massachusetts, USA), the Mathematical Institute of the Hebrew University of Jerusalem (Israel), the Mathematics Faculty of Universidad Complutense de Madrid (Spain), and the Mathematics department of Universidade de Lisboa (Portugal). These research positions have been funded by prestigious competitive postdoctoral fellowships and senior researcher fellowships, including the Lady Davis fellowship in Israel, the Juan de la Cierva and Maria Zambrano fellowships (ranked first across all disciplines) in Spain and FCT Researcher in Portugal. He has supervised two PhD theses in Mathematics at Universidade de Lisboa, on random matrix theory and its physical applications in gauge theory. The thesis of Dr. Leonardo Santilli, now postdoctoral researcher at YMSC in Beijing, won the award for best Mathematical thesis of the year 2022.
Tiexiang Li
Matrix Computations, Metric-Preserving Computational Geometry, Data Science, Image Processing
Tiexiang Li is a Professor of Mathematics at Southeast University and also serves as a professor and assistant director at Shing-Tung Yau Center of Southeast University and Nanjing Center for Applied Mathematics. She obtained her Ph.D in mathematics at Peking University in 2008.
Professor Li’s research interests include matrix computations, 3D metric-preserving computational geometry, inverse problems, data science, image processing, deep learning. She has published over 60 papers in leading journals, including SIAM J. Sci. Comput., SIAM J. Matrix Anal.Appl., SIAM J. Imaging Sci., J. Comput. Phys., Inverse Probl., J. Differ. Equ., ACM T. Math. Software, Comput. Phys. Commun..
Wen-wei Lin
Scientific Computing, Numerical Analysis, Optimization: Theory and Algorithms, Metric-Preserving Computational Geometry, Computational Chaotic Systems
Wen-Wei Lin is a professor and vice president of Nanjing Center for Applied Mathematics (NCAM), as well as a visiting professor at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS), and one of its co-founders. Prior to joining NCAM, he is a Lifetime Chair Professor and doctoral supervisor at Yang Ming Chiao Tung University in Taiwan. He obtained his Ph.D. in Mathematics at Bielefeld University (Germany) in 1986.
Professor Lin has been engaged in research areas including large-scale matrix computations and optimizations, fast structure-preserving doubling algorithms for nano research and quasi-crystals, high-performance computational methods for Maxwell’s equations, 3D metric-preserving computational geometry with applications in image processing and mesh generation, and the theory and applications of chaotic encryption systems. He has published over 220 papers in leading journals, including SIMAX, SISC, SIIMS, SINUM, NM, MC, JCP, IP, CPC, ACM TOMS, and authored one academic monograph published in the SIAM Foundations of Algorithms series.
Zhigang Yao
Interface between Statistics and Geometry Non-Euclidean Statistics High-dimensional Statistical Inference
Zhigang Yao is an associate professor and tenured professor in the Department of Statistics and Data Science at the National University of Singapore. He is currently a visiting member of the Center for Mathematical Sciences and Applications at Harvard University, a visiting professor at YMSC at Tsinghua University, and has also visited universities such as the Ecole Polytechnique Fédérale de Lausanne (EPFL) in Switzerland as a Professeur invitée. His research interests include statistical inference of complex data. In recent years, he has focused on research on non-Euclidean statistics and low-dimensional manifold fitting. With the collaboration and help of Professor Shing-Tung Yau, Professor Yao is committed to promoting research in the new field of interaction between geometry and statistics. In recent years, Professor Yao and his collaborators have proposed methods and theories to redefine the principal flow/sub-manifold and principal boundary of traditional PCA on Riemannian manifolds, as well as new methods and theories for manifold fitting in the ambient space. These methods aim to address deficiencies in traditional statistical methods and theories by mining the geometric structures hidden in the data itself. Currently, these methods and theories have been gradually used in the analysis of large-scale data, including single-cell sequencing data and network data. Personal webpage https://zhigang-yao.github.io/
Yinyu Ye
Continuous and Discrete Optimization, Data Science and Applications, Numerical Algorithm Design and Analyses, Algorithmic Game/Market Equilibrium, Operations Research and Management Science
Yinyu Ye, formally the K.T. Li Professor of Stanford University, is now the Visiting Chair Professor Shanghai Jiao Tong University and Chinese University of Hong Kong at Shenzhen. His current research topics include Continuous and Discrete Optimization, Data Science and Applications, Numerical Algorithm Design and Analyses, Algorithmic Game/Market Equilibrium, Operations Research and Management Science etc.; and he was one of the pioneers on Interior-Point Methods, Conic Linear Programming, Distributionally Robust Optimization, Online Linear Programming and Learning, Algorithm Analyses for Reinforcement Learning&Markov Decision Process and nonconvex optimization, and etc. He and his students have received numerous scientific awards, himself including the 2006 INFORMS Farkas Prize (Inaugural Recipient) for fundamental contributions to optimization, the 2009 John von Neumann Theory Prize for fundamental sustained contributions to theory in Operations Research and the Management Sciences, the inaugural 2012 ISMP Tseng Lectureship Prize for outstanding contribution to continuous optimization (every three years), the 2014 SIAM Optimization Prize awarded (every three years), etc. According to Google Scholar, his publications have been cited over 61,000 times.
Hongsong Yuan
Statistical learning, network analysis, and data-driven revenue management
Hongsong Yuan is a tenured associate professor at School of Information Management and Engineering, Shanghai University of Finance and Economics (SUFE). He received his bachelor’s degree in mathematics from Peking University in 2006, and obtained his PhD degree in operations research from Stanford University in 2012. He was visiting scholar to Stanford University in 2015-2016, and visiting scholar to University of Toronto in 2019.
Dr. Yuan’s research interest mainly include statistical learning, network analysis, and data-driven revenue management. His work was published in top journals such as IEEE Transactions on Information Forensics and Security, Journal of Machine Learning Research, Production and Operations Management, etc.
Yaowu Zhang
Dr. Yaowu Zhang is currently a professor at School of Information Management and Engineering, Shanghai University of Finance and Economics. He received his Ph.D. degree from School of Statistics and Management, Shanghai University of Finance and Economics in 2017, under the supervision of Prof. Liping Zhu. Before that, he obtained the Bachelor’s degree of Engineering from Southeast University. His representative publications have appeared in several leading journals and conferences, including Annals of Statistics, Biometrika, Journal of Machine Learning Research, Production and Operations Management, Journal of Econometrics, Journal of Business & Economic Statistics, NeurIPS, and ICML.
Yahong Zhou
Econometric theory and issues related to the Chinese economy
Dr. Yahong Zhou received his Ph.D. in Economics from the Hong Kong University of Science and Technology, and B.A. from the Department of Mathematics at Fudan University. He is currently a tenured professor and Dean of the School of Economics at Shanghai University of Finance and Economics (SUFE), Vice Chairman of the Academic Committee at SUFE, and Deputy Director of the Chinese Association of Quantitative Economics. He also serves on the editorial board of Journal of Quantitative & Technological Economics and China Journal of Econometrics, etc.
Dr. Zhou has long been dedicated to the research of econometric theory and issues related to the Chinese economy. He has published about 50 academic papers in highly regarded field journals such as Journal of Econometrics, Journal of Business and Economic Statistics, Econometric Theory, as well as in leading Chinese journals such as Economic Research Journal, Science China, Journal of Management Sciences in China, and China Economic Quarterly.
Algebraic Geometry
Jiabin Du is a Postdoctoral Research Scholar at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his PhD in Mathematics at Xiamen University in 2022 and then became a postdoc in Shanghai Center for Mathematical Sciences, Fudan University in 2022-2024.
Doctor Du’s current research interests mainly focus on geometry of algebraic surfaces, abelian varieties and irregular varieties.
Eran Igra
I am a postdoctoral scholar at the SIMIS. My research lies in the field of Nonlinear Dynamics, a field often referred to as “Chaos Theory”. In more detail, I am interested in describing the dynamical complexity of chaotic attractors by studying their periodic trajectories.
Prior to arriving at the SIMIS, I completed my PhD studies in the Technion- Israel Institute of Technology, under the supervision of Prof. Tali Pinsky.
Previously, I completed my MSc studies at the Hebrew University of Jerusalem under the supervision of Prof. Genadi Levin.
WeiHung Liao
Discrete Differential Geometry, Computational Conformal Geometry
Weihong Liao is currently a postdoctoral researcher at the Shanghai Institute for Mathematics and Interdisciplinary Research. He got his Ph.D at National Taiwan University and he focused on the theoretical analysis of curvature flow to reduce the energy functional of surfaces to reach the standard fundamental surfaces.
Future research interests are divided into three directions: 1. Consider the dual discrete Laplacian and utilize the geometric properties of the mean curvature of the continuous Laplacian on hypersurfaces to give geometric curvature reflecting geometric curvature closer to that in continuum theory. 2. Consider angle-preserving and area-preserving problems for surfaces of genus-1, taking into account from a two-dimensional complex space. 3. The geometry of the 2-dimensional complex space is used to find out the energy functionals to compute the optimization of the conformal or area preserving properties, which is an attempt to push forward the theory of interactive superposition optimization and R-linear convergence in the previous paper, and also to give a different computational method from the one proposed in the earlier study, which is based on the use of holomorphic differentials to compute the conformal mapping. 3. The problem is related to that of the decomposition of a high-genus surface into a number of partially standardized tires to generate the conformal and area-preserving problems of a higher genus surface. This problem is closely related to the decomposition of a higher genus surface into several standard tire surfaces and the problem of area preservation, as well as to the distribution of singularities in the initial triangular mesh to generate the quadrilateral mesh.
Yizhou Lu
Theoretical Physics
Yizhou Lu is a Postdoc at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in theoretical physics in 2022 from Huazhong University of Science and Technology, and then became a Postdoctoral researcher at Southern University of Science and Technology.
The research interests of Dr. Lu include quantum gravity, AdS/CFT correspondence and cosmology. Concretely, the current projects of Dr. Lu concern about the quantum entanglement in AdS/CFT and the fundamental physics at the very beginning of the Universe (inflation).
Yufan Luo
Algebraic number theory
Yufan Luo is a Postdoctoral Researcher at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in Natural Sciences at Humboldt-Universität zu Berlin in 2023, specializing in Mathematics.
Doctor Luo’s research interests lie in algebraic number theory, group theory, and arithmetic geometry. In particular, he’s interested in applying group theory to solve number theoretic questions, with a focus on the study of structures of Galois groups of global fields with restricted ramifications.
Chao Gu
Number Theory
Chao Gu is a Postdoc at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in mathematics in 2023 from the University of Chicago.
Chao Gu’s research field is number theory, including Abelian varieties, Galois representation, etc. He also had some interest in algebraic geometry.
Liang Guo
Noncommutative Geometry
Liang Guo is a Postdoc at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in mathematics in 2024 from the East China Normal University.
Liang Guo’s research field is noncommutative geometry, K-theory of operator algebras, coarse geometry, and higher index theory. He is also interested in the interdisciplinary between nonstandard analysis and coarse geometry
Veronica Pasquarella
Homological Mirror Symmetry
I am a postdoctoral researcher at SIMIS. My research focuses on Homological Mirror Symmetry and its application to String Theory and Calabi-Yau categories.
In addition to conducting research, I will also be teaching a course on Homological Mirror Symmetry at SIMIS, splitting it in between two semesters: the first will be more introductory, whereas the second will be more advanced.
I completed my PhD in Mathematics and Theoretical Physics at the University of Cambridge, UK, in 2024. Prior to that, I earned a Master of Advanced Studies in the Mathematics Department in Cambridge in 2020. I also completed a Master in Theoretical Physics (in 2019) and a Bachelor in Physics (in 2016) at the University of Trieste, in Italy.
Yingdi Qin
Symplectic Geometry, Mirror Symmetry and Generalized Complex
Dr. Yingdi Qin is Postdoc Researcher at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in Mathematics from UC Berkeley, and then have worked as Postdoctoral researcher at University of Pennsylvania and ICMS-Sofia.
Yingdi Qin‘s research field is symplectic geometry，mirror symmetry and generalized complex geometry. He is also interested in derived geometry and higher geometry.
Valerii SOPIN
Representation Theory, Category Theory, LCFT
Valerii SOPIN is a Postdoc Research Scholar at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Recently, he received his PhD in Mathematical Sciences from Tsinghua University. He obtained master’s degrees in Mathematical Sciences and Computer Sciences from the best Universities in Russia. His current research interests include representation theory and category theory.
Pengcheng Wan
Theoretical Physics
Pengcheng Wan is a Postdoctoral Research Scholar at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in atomic and molecular physics at East China Normal University in 2022.
Doctor Wan’s current research interests mainly foucs on toroidal electromagnetic calculation and conformal transformation. He aims to efficiently calculate the electromagnetic scattering of arbitrary-shaped metal surfaces by combining global basis functions and computational conformal geometry methods, providing more efficient computational methods for applications.
Wendi Xu
Pure Mathematics
Wendi Xu is a Postdoctoral Researcher at the Shanghai Institute of Mathematics and Interdisciplinary Sciences (SIMIS). She obtained her Ph.D in Pure Mathematics at Fudan University in 2024.
Dr. Xu’s recent research interests mainly focus on the analysis on graphs. She wants to combine PDEs and variational techniques to study equations and inequalities on graphs, extending classical calculus and differential geometry defined on smooth manifolds to discrete structures, enriching the theoretical framework and contributing to the modeling and understanding of many physical and information propagation processes.
Suting Zhao
Theoretical Physics
Suting Zhao is a Postdoctoral Researcher at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his PhD in physics at University of Wuerzburg in 2024.
Dr. Suting Zhao’s general research interests include classical and quantum gravity theories, gauge/gravity duality and quantum information theory. Currently, he is interested in studying mathematical aspects of higher spin gravity as well as their relations with classical Toda theories and W conformal blocks.
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