Groups (finite, infinite, algebraic) and their representations. Rings (both commutative and non-commutative), fields and modules. General algebraic structures, algebraic K-theory, category theory. Computational aspects of algebra and applications.

Pierre-Emmanuel Caprace

UCLouvain, Belgium

Joint lecture with George Willis

Pierre-Emmanuel Caprace is a F.R.S.-FNRS Senior Research Associate and Professor of Mathematics at UCLouvain, Belgium.

His research domain is group theory, with a focus on the structure theory of locally compact groups and its interactions with discrete groups, geometry, dynamics and representation theory.

His joint works with Nicolas Monod have been awarded the 2015 Berwick Prize of the London Mathematical Society. He was an invited speaker at the 2016 European Congress of Mathematics.

Alexander Efimov

Steklov Mathematical Institute of RAS and HSE, Russia

Also in section 4

Alexander Efimov is currently a Senior Researcher at the Algebraic Geometry Section of Steklov Mathematical Institute of RAS, Moscow, Russia.

He is also a member of the International Laboratory of Mirror Symmetry and Automorphic Forms, Higher School of Economics, Moscow, Russia. His research interests include algebraic geometry, derived categories, mirror symmetry, and quantum algebra. He is a winner of the 2020 EMS Prize and an invited speaker at the 2020/2021 European Congress of Mathematics.

Neena Gupta

Indian Statistical Institute, India

Also in section 4

Neena Gupta is an Associate Professor at the Theoretical Mathematics and Statistics Unit of the Indian Statistical Institute, Kolkata, India. Her research interests are in commutative algebra and in affine algebraic geometry.

She is interested in problems on affine fibrations, finite generation of subrings of polynomial rings, cancellation, characterisation and epimorphism problems on affine spaces, locally nilpotent derivations and G_a-actions on affine varieties, and allied topics.

She is known for providing a complete solution to the Zariski Cancellation Problem for affine spaces in positive characteristic. She has developed a general theory on a certain family of affine threefolds which reveals surprising connections between various problems on affine spaces. Solutions to certain central questions in affine algebraic geometry now appear as natural consequences of her theory.

She is a Fellow of the Indian Academy of Sciences and a recipient of the Shanti Swarup Bhatnagar Prize in Mathematical Sciences awarded by the Council of Scientific and Industrial Research (CSIR), Government of India.

Syu Kato

Kyoto University, Japan

Syu Kato is a Professor of Mathematics at Kyoto University.
He is mainly working on geometric representation theory.

In particular, he discovered a geometric framework for understanding the representation theory of affine Hecke algebras of type BC with three parameters, that encodes a major portion of the representation theory of p-adic algebraic groups of all classical types. He has been awarded the Algebra prize of the Mathematical Society of Japan.

His current interest includes algebro-geometric aspects of semi-infinite flag manifolds.

Michael Larsen

University of Indiana, USA

Also in section 7

Michael Larsen is a member of the Department of Mathematics of Indiana University. His interests include Galois representations, finite and algebraic groups, motivic zeta-functions, Hochschild homology, topological quantum computation, and combinatorics. He is a Fellow of the American Mathematics Society and a winner of the E. H. Moore prize of the AMS.

Marc Levine

The University of Duisburg-Essen, Germany

Survey lecture on motivic cohomology

Jointly in sections 3, 4, 6

Marc Levine was born in Detroit, Michigan.

He is a Senior Professor in the Faculty of Mathematics at the University of Duisburg-Essen.

He works in algebraic geometry and algebraic topology, specialising in motivic cohomology, algebraic K-theory, algebraic cobordism, motives and motivic homotopy theory, with an interest in applications to basic problems in algebraic geometry and arithmetics.

He is a member of the Leopoldina-German National Academy of Science and the Academia Europaea, and is a recipient of the Wolfgang Paul Award (2001) and the Senior Berwick Prize (2018). He also held a Humboldt Professorship at the University of Duisburg-Essen (2009-2014).

Huijia (Rachel) Lin

University of Washington, USA

Lecture on obfuscation schemes

Joint lecture with Amit Sahai

Jointly in sections 1, 14

Huijia (Rachel) Lin is an Associate Professor in the Paul G. Allen School of Computer Science and Engineering at the University of Washington, where she co-leads the Cryptography Lab. Before joining the University of Washington, she was an Assistant Professor in the Department of Computer Science at the University of California, Santa Barbara.

Earlier, she obtained a PhD in Computer Science from Cornell University, and was a postdoctoral researcher at MIT Computer Science and Artificial Intelligence Laboratory (CSAIL) and Department of Computer Science at Boston University.

Her research interests are in Cryptography, and broadly its interplay with theory of computer science and security. She is known for her works on program obfuscation, functional encryption, secure multiparty computation, non-malleability and concurrent security. She is a recipient of a US National Science Foundation CAREER award, a Hellman Fellowship, a JP Morgan Faculty award, and a Microsoft Research PhD Fellowship.

She has won a best paper award honorable mention at Eurocrypt 2016, a best paper award at Eurocrypt 2018, and a best paper award at STOC 2021. Her papers have been many times invited to special issues of journals for selected papers at cryptography and theory of computing conferences, and covered by media such as the Quanta Magazine and Forbes.

Amnon Neeman

Australian National University, Australia

Amnon Neeman is a Professor of Mathematics at the Mathematical Sciences Institute of the Australian National University.
His interests are primarily in the diverse application of derived and triangulated categories, especially to algebraic geometry, algebraic K-theory, and algebraic topology.

He is a member of the Australian Academy of Science, and a winner of the Moyal Medal.

Irena Peeva

Cornell University, USA

Irena Peeva is a Professor of Mathematics at Cornell University. Peeva’s primary work is in Commutative Algebra, and her primary research is focused on Free Resolutions and Hilbert Functions.

Resolutions provide a method for describing the structure of modules. She has also done work on the many connections of Commutative Algebra with Algebraic Geometry, Combinatorics, Computational Algebra, Noncommutative Algebra, and Subspace Arrangements. Her book «Graded Syzygies» was published in 2011.

Amit Sahai

UCLA, USA

Lecture on obfuscation schemes

Joint lecture with Huijia (Rachel) Lin

Jointly in sections 1, 14

Amit Sahai is a Fellow of the ACM (2018) and a Fellow of the IACR (2019). He is also a Fellow of the Royal Society of Arts (2021), and Advisor to the Prison Mathematics Project. He is the incumbent of the Symantec Endowed Chair in Computer Science. He received his Ph.D. in Computer Science from MIT in 2000. From 2000 to 2004, he was on the faculty at Princeton University; in 2004 he joined UCLA, where he currently holds the position of Professor of Computer Science. He serves as an editor of J. Cryptology (Springer-Nature). His research interests are in security and cryptography, and theoretical computer science more broadly. He is the co-inventor of Attribute-Based Encryption, Functional Encryption, and Indistinguishability Obfuscation. He has published more than 150 original technical research papers at venues such as the ACM Symposium on Theory of Computing (STOC), CRYPTO, and the Journal of the ACM. He has given a number of invited talks at institutions such as MIT, Stanford, and Berkeley, including the 2004 Distinguished Cryptographer Lecture Series at NTT Labs, Japan. Professor Sahai is the recipient of numerous honors; he was named an Alfred P. Sloan Foundation Research Fellow in 2002, received an Okawa Research Grant Award in 2007, a Xerox Foundation Faculty Award in 2010, a Google Faculty Research Award in 2010, a 2012 Pazy Memorial Award, a 2016 ACM CCS Test of Time Award, a 2019 AWS Machine Learning Research Award, and a 2020 IACR Test of Time Award (Eurocrypt). For his teaching, he was given the 2016 Lockheed Martin Excellence in Teaching Award from the Samueli School of Engineering at UCLA. His research has been covered by several news agencies including the BBC World Service, Quanta Magazine, Wired, and IEEE Spectrum.

Bernd Sturmfels

MPI Leipzig/ UC Berkeley, Germany/ USA

Survey lecture on applied / computational algebra

Jointly in sections 13, 14

Bernd Sturmfels is a leading experimentalist among mathematicians.

He is well-known for his contributions to computational algebraic geometry, commutative algebra, geometric combinatorics, and their applications, notably in statistics, optimization, and the lifesciences. He has authored 11 books and 270 research articles.

Sturmfels received doctoral degrees in 1987 from the University of Washingtonand the Technical University Darmstadt, and an honorary doctorate in 2015from the Goethe University Frankfurt. He joined UC Berkeley in 1995, where he is a Professor of Mathematics, Statistics and Computer Science. In 2017 he moved to the Max-Planck Institute for Mathematics in the Sciences in Leipzig, where he is a director and the head of the Nonlinear Algebra department. He is also affiliated with the Technical University Berlin and Leipzig University. Hishonors include a David and Lucile Packard Fellowship, a Humboldt Senior Research Prize, the SIAM von Neumann Lecturership, and the George David Birkhoff Prize in Applied Mathematics. He is a fellow of AMS and SIAM,and a member of the Berlin-Brandenburg Academy of Sciences.

Sturmfels is passionate about promoting outward-looking mathematics and the inclusion of talents from all backgrounds. Among his 60 doctoral students and countless postdocs, many are female. He firmly believes in excellence through diversity, and the axioms laid out by Federico Ardila.

George Willis

University of Newcastle, Australia

Joint lecture with Pierre-Emmanuel Caprace

George Willis is a Professor of Mathematics at the University of Newcastle, Australia. His interests include locally compact groups and functional analysis.
He is known in particular for the scale function on totally disconnected groups and for work on the non-triviality and structure of associated contraction subgroups.

He is a Fellow of the Australian Academy of Science and the Royal Society of New South Wales, and is currently an Australian Research Council Laureate Professor.

Tue Oct 05 2021 16:02:16 GMT+0300 (Moscow Standard Time)