THURSDAYS 3:00 pm to 3:50 pm* in MS 6627/Zoom
The UCLA Mathematics Colloquium, also known as the Thursday Colloquium, is a weekly meeting featuring invited talks on diverse subjects of mathematics. The colloquium takes place usually Thursdays at 3pm and sometimes Thursdays at 4:15pm. Talks last usually around 50 minutes and are followed by questions and discussion. Many of the colloquium sessions are broadcasted live via zoom and recorded for posterity. Faculty, students, and all mathematics enthusiasts are welcome to participate in the colloquium and submit nominations of possible speakers. If you are not part of UCLA, you are still welcome to sign up to the mailing list and join the zoom sessions by following the link below.
Previous recordings can be found below.
After each talk, tea is served in the Department Lounge (MS 6620) at 4:00 pm.
The UCLA Mathematics Colloquium is supported in part by the Larry M. Weiner Mathematics Fund.
*Time subject to change based on speaker schedule or if multiple speakers are scheduled.
April 24th, 2025
Session One – 3:00 pm to 3:50 pm
Speaker: Maciej Zworski (UC Berkeley)
Host: Michael Hitrik
Title: Why is our world classical despite being governed by quantum mechanics?
Abstract. This question has been much discussed in physics and one suggestion is that the long time persistence of classical/quantum correspondence is due to interaction of a small, observed system with a larger environment. Lindblad or GKSL evolution is one of the standard models for describing such interactions. In that context the question of the length of time of classical/quantum agreement was recently revisited in physics by Hernandez–Ranard–Riedel.
In my talk I will introduce the concept of Lindblad evolution and present results showing that the evolution of a quantum observable remains close to the classical Fokker–Planck evolution in the Hilbert–Schmidt norm for times vastly exceeding the Ehrenfest time (the limit of such an agreement when there is no interaction with a larger system). The time scale is the same as in two recent papers by Hernandez–Ranard–Riedel but the statement and methods are different. The talk is based on joint work with J Galkowski and numerical results obtained jointly with Z Huang. I will also comment on recent progress on trace class estimates by Z Li and on the hypoelliptic case by H Smith.
Session Two – 4:00 pm to 4:50 pm
Speaker: Roberto Calandra (TU Dresden)
Host: Guido Montufar
Title: Why is our world classical despite being governed by quantum mechanics?
Abstract. With the recent trends of AI & robotics, the modern development of embodied agents is often done at two independent stages where first an robot is designed by roboticists, and later the AI/software is developed by machine learning experts. In this talk, I will instead argue for the need to tackle embodied AI in a holistic manner, where the fine interplay between hardware and software matters. As an example, I will discuss recent development in the fields of touch sensing and touch processing, and the benefits of vertical integration. Following, I will briefly discuss the co-adaptation of hardware and software as one of the next frontiers of AI & robotics, where both “bodies” and “brains” of robots are co-optimized for specific environments and tasks using reinforcement learning.
Bio: Roberto Calandra is a Full (W3) Professor at the Technische Universität Dresden where he leads the Learning, Adaptive Systems and Robotics (LASR) lab. Previously, he founded at Meta AI (formerly Facebook AI Research) the Robotic Lab in Menlo Park. Prior to that, he was a Postdoctoral Scholar at the University of California, Berkeley (US) in the Berkeley Artificial Intelligence Research (BAIR) Lab. His education includes a Ph.D. from TU Darmstadt (Germany), a M.Sc. in Machine Learning and Data Mining from the Aalto university (Finland), and a B.Sc. in Computer Science from the Università degli Studi di Palermo (Italy). His scientific interests are broadly at the conjunction of Robotics and Machine Learning, with the goal of making robots more intelligent and useful in the real world. Among his contributions is the design and commercialization of DIGIT — the first commercial high-resolution compact tactile sensor, which is currently the most widely used tactile sensor in robotics. Roberto served as Program Chair for AISTATS 2020, as Guest Editor for the JMLR Special Issue on Bayesian Optimization, and has previously co-organized over 16 international workshops (including at NeurIPS, ICML, ICLR, ICRA, IROS, RSS). In 2024, he received the IEEE Early Academic Career Award in Robotics and Automation.
May 1st, 2025
Speaker: Fred Diamond (King’s College London)
Host: Chandrashekhar Khare
Title: Modularity of elliptic curves, and beyond, and beneath
Abstract. In his celebrated work completed in 1995, Wiles, in part with Taylor, proved that every semistable elliptic curve over Q is modular, in the sense that its L-function is also that of a modular form. Their methods were subsequently extended by Breuil, Conrad, Taylor and myself to prove the modularity of all elliptic curves over Q. The Modularity Theorem can be viewed as a special case of Langlands reciprocity conjectures, which continue to see exciting advances stemming from Wiles’ work in combination with further innovations. In the first half of the talk, I’ll give an overview of Wiles’ method and subsequent developments.
In addition to its most famous consequence, namely Fermat’s Last Theorem, modularity also underpins all major progress on the Birch—Swinnerton-Dyer Conjecture. Like the Modularity Theorem, the Birch—Swinnerton-Dyer Conjecture can also be viewed as an instance of a vast family of conjectures, in this case relating arithmetic invariants to special values of L-functions. In the second half of the talk, I’ll explain how the proof of the Modularity Theorem is itself related, by work of Hida, to another instance of these conjectures, namely for adjoint L-functions.
May 8th, 2025
Speaker: Ruriko Yoshida (Naval Postgraduate School )
Host: Guido Montufar
Title: TBA
Abstract. TBA
May 15th, 2025
Speaker: Ryan Tibshirani (UC Berkeley)
Title: TBA
Abstract. TBA
May 22nd, 2025 (in conjunction with the Distinguished Lecture Series)
Speaker: Robert Lazarsfeld (Stony Brook University)
Host: Terence Tao
Title: Further developments and open problems
Abstract. I will survey some further developments on these matters, and discuss some of the many open problems that present themselves.
May 29th, 2025
Speaker: Jamie Haddock (Harvey Mudd College)
Host: Guido Montufar
Title: TBA
Abstract. TBA
Past Colloquiums
April 3rd, 2025
Lieven Vandenberghe (UCLA)
Primal-dual first-order methods for conic optimization
April 17th, 2025
Marius Junge (UIUC)
How to use quantum games and quantum communication for Grothendieck type inequalities
April 24th, 2025
Maciej Zworski (UC Berkeley)
Why is our world classical despite being governed by quantum mechanics?
View Recording
April 24th, 2025
Roberto Calandra (TU Dresden)
Embodied Artificial Intelligence: Body and Mind
View Recording
May 1st, 2025
Fred Diamond (King’s College London)
Modularity of elliptic curves, and beyond, and beneath
View Recording
May 8th, 2025
Ruriko Yoshida (Naval Postgraduate School)
TBA
View Recording
May 15th, 2025
Ryan Tibshirani (UC Berkeley)
TBA
View Recording
May 22nd, 2025 (In Conjunction with the Distinguished Lecture Series)
Robert Lazarsfeld (Stony Brook University)
Further developments and open problems
View Recording
May 29th, 2025
Jamie Haddock (Harvey Mudd College)
TBA
View Recording
January 8th, 2025
Ahmed Bou-Rabee (NYU)
Homogenization with critical disorder
January 9th, 2025
Samir Canning (ETH)
Cycles on moduli spaces of curves and abelian varieties
January 14th, 2025
Itay Kaplan (Hebrew University of Jerusalem)
Some recent progress in the study of NIP
February 13th, 2025
Kevin Shu (Caltech)
Algebraic Methods in Convex Optimization
February 27th, 2025 (In Conjunction with the Distinguished Lecture Series)
Ana Caraiani (Imperial College London)
Ordinary p-adic automorphic forms and Eichler-Shimura theory
October 3rd, 2024
Richard Y. Zhang (University of Illinois at Urbana-Champaign)
Rank Overparameterization and Chordal Conversion for Large-Scale Low-rank Optimization
October 10th, 2024 (In Conjunction with the Distinguished Lecture Series)
Richard Schwartz (Brown)
October 17th, 2024
Stanislav Minsker (USC)
Probabilistic Inequalities for Sums of Heavy-Tailed Random Matrices
October 24th, 2024
Henri Guenancia (Toulouse)
On Lang’s conjecture on hyperbolic projective manifolds
View Recording
October 31st, 2024
Math Faculty (UCLA)
Flash Talks by Mathematics Faculty
November 7th, 2024
Zaher Hani (University of Michigan)
November 14th, 2024
Govind Menon (Brown University)
The geometry of the deep linear network
November 21st, 2024
Blair Sullivan (University of Utah)
Robotic Brewing: New Inspection Planning Algorithms (IPAs) on Tap
November 21st, 2024
Alexander Smith (UCLA)
The distribution of conjugates of an algebraic integer
December 5th, 2024
Christopher Hillar (Algebraic; Redwood Center for Theoretical Neuroscience, UC Berkeley)
Robust exponential memory in Hopfield neural networks
December 5th, 2024
Nathan Chen (Harvard)
On the complexity of curves in complete intersections
December 12th, 2024
Julian Sahasrabudhe
The Ramsey numbers – new results and new perspectives
April 4th, 2024
Amnon Neeman (University of Milan)
Vanishing negative K-theory and bounded t-structures
N/A
April 11th, 2024
Kevin Ren (Princeton University)
Sharp Furstenberg Sets Estimate in the Plane
April 25th, 2024
Joaquin Moraga (UCLA)
Birational geometry and singularities
May 9th, 2024 (In Conjunction with the Distinguished Lecture Series)
Gitta Kutyniok (LMU Munich)
Overcoming the Boundaries of Artificial Intelligence: A Mathematical Approach
May 23rd, 2024
Aaron Landesman (Harvard University)
Painleve VI: the search for canonical representations
May 23rd, 2024
Weiqiang Wang ( University of Virginia)
Schur dualities: themes and variations
N/A
June 6th, 2024
Vincent Pilloni (University-Paris Saclay)
January 8th, 2024
Lena Ji (University of Michigan)
On rationality of algebraic varieties over non-closed fields
January 11th, 2024
Dominique Maldague (MIT)
Sharp square function estimates in Fourier restriction theory
January 18th, 2024
Sug Woo Shin (UC Berkeley)
Shimura varieties and reciprocity
January 18th, 2024
Zhouli Xu (UC San Diego)
February 15th, 2024
Miguel Walsh (Universidad de Buenos Aires)
Fourier uniformity of multiplicative functions
February 22nd, 2024
Mark Gross (University of Cambridge)
Intrinsic Mirror Symmetry and Applications
February 22nd, 2024
Federico Ardila (San Francisco State University)
Intersection theory of matroids
February 29th, 2024
Christopher Skinner (Princeton University)
Extensions and the twice-punctured sphere
March 7th, 2024
Lucien Hennecart (University of Edinburgh)
Counting representations of algebras
October 5th, 2023
Sheel Ganatra (USC)
Conceptual approaches to Fukaya categories and mirror symmetry
October 12th, 2023
Mehtaab Sawhney (MIT)
On High Girth Steiner-Triple Systems and Subspace Designs
October 12th, 2023
Karim Adiprasito (Hebrew University of Jerusalem)
Coxeter groups, Euler characteristics, aspherical manifolds and gamma-numbers
October 19th, 2023
Lue Pan (Princeton University)
The Fontaine-Mazur conjecture in dimension two
October 26th, 2023
Maggie Miller (UT Austin)
October 26th, 2023
Irving Dai (UT Austin)
Diffeomorphism extension and Floer homology
November 2nd, 2023
Joshua Greene (Boston College)
Peg Problems and Symplectic Geometry
November 2nd, 2023
Phillippe Sosoe (Cornell University)
KPZ estimates for ASEP and the Stochastic Six Vertex model
N/A
November 9th, 2023
Heather Zinn Brooks (Harvey Mudd College)
Emergence of polarization in a sigmoidal bounded-confidence model of opinion dynamics
November 9th, 2023
Andrew Lawrie (MIT)
Continuous bubbling for the harmonic map heat flow
November 16th, 2023
Tristan Buckmaster (New York University)
Singularities in fluid: Self-similar analysis, computer assisted proofs and neural networks
November 16th, 2023
Ziyang Gao (Hannover)
Sparsity of Rational and Algebraic Points
November 30th, 2023 (In Conjunction with the Distinguished Lecture Series)
Eugenia Malinnikova (Stanford University)
Decay of solutions to real Schrodinger equations on the plane
November 30th, 2023
Chris Wiggins (Columbia University and New York Times)
Data Science at the New York Times
December 7th, 2023
Max Engelstein (University of Minnesota)
The Role of Analyticity in Stability
December 7th, 2023
Ian Gleason (University of Bonn)
Recent developments in p-adic geometry and the local Langlands correspondence
April 6th, 2023
Charles Steinhorn (Vassar)
Asymptotic uniformities in classes of finite structures
April 20th, 2023
Michael Shlesinger (Office of Naval Research)
Pitfalls and paradoxes in the history of Probability Theory
April 27th, 2023
Raghu Meka (UCLA Computer Science)
Strong bounds for 3-progressions
May 11th, 2023 (In Conjunction with the Distinguished Lecture Series)
Craig Evans (Berkeley)
Recent developments: successes and failures
June 8th, 2023
Anton Bernshteyn (Georgia Institute of Technology)
January 12th, 2023
Gurbir Dhillon (Yale University)
Character formulas, old and new
January 19th, 2023
Alexander Smith (Stanford University)
Rational right triangles and the ranks of elliptic curves in quadratic twist families
January 24th, 2023
Yair Shenfeld (MIT)
Optimal structures in convex geometry and combinatorics
January 31st, 2023
Alexander Dunlap (NYU)
Stochastic partial differential equations in supercritical, subcritical, and critical dimensions
February 2nd, 2023
Tristan Collins (MIT)
Complete Calabi-Yau metrics: recent progress and open problems
February 23rd, 2023
Elizabeth Munch (Michigan State University)
Graph Classification using the Interleaving Distance
March 2nd, 2023
Karim Adiprasito (University of Copenhagen / Hebrew University of Jerusalem / IAS)
Total anisotropy, generic Lefschetz and applications
March 9th, 2023
Jacopo Borga (Stanford University)
N/A
October 6th, 2022
Ken Ono (University of Virginia)
Sato-Tate type distributions for hypergeometric varieties
N/A
October 13th, 2022
Natalia Komarova (UC Irvine)
Mathematical methods in evolutionary dynamics
N/A
October 20th, 2022
Joaquín Moraga (UCLA)
Birational Geometry and Algebraic Singularities
October 27th, 2022
Mark Gross (University of Cambridge)
November 7th, 2022
Jordan Ellenberg (University of Wisconsin–Madison)
Geometry of Arithmetic Statistics
November 10th, 2022
Chenfanfu Jiang (UCLA)
Energetically consistent inelasticity: analytical and machine learning approaches
November 17th, 2022
Christopher Schafhauser (University of Lincoln Nebraska)
December 1st, 2022
Joel Nagloo (UIC)
Applications of model theory to functional transcendence