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Brian LawrenceView profile

Assistant Professor

• Arithmetic Geometry
• Number Theory
• Diophantine Geometry
• +2 more

Brian Lawrence is an Assistant Professor in the Department of Mathematics at the University of Wisconsin–Madison, currently on leave as of 2025. Previously, he held positions at UCLA, the University of Chicago, and Columbia University, following doctoral studies at Stanford University under Akshay Venkatesh. His educational background includes: PhD in Mathematics from Stanford University (advisor: Akshay Venkatesh) Lawrence's research centers on arithmetic geometry, specializing in Diophantine problems through p-adic methods. His work develops innovative approaches to Mordell's conjecture, Shafarevich-type results, and rational point distribution using p-adic Hodge theory, étale cohomology, and period mappings. He bridges theoretical number theory with computational frameworks, particularly in algorithmic solutions for Diophantine equations. His publication trends reveal sustained focus on foundational Diophantine geometry problems, with recent work emphasizing conditional algorithms for the Mordell problem and sparsity phenomena in integral points. Collaborations with leading mathematicians like Venkatesh and Sawin demonstrate interdisciplinary engagement across number theory and algebraic geometry. Lawrence actively mentors undergraduate researchers, supervising projects on resultants, Hodge theory, and symmetric polynomials by students including Pramana Saldin, Yuchen Chen, Anuj Sakarda, and Spencer Dembner. His organizational roles include founding the Crystalline Cohomology seminar at Columbia and co-organizing the University of Chicago Number Theory Seminar, fostering collaborative research environments. He contributes extensively through expository notes on schemes, polynomials on lattices, and Fibonacci numbers modulo p, reflecting commitment to mathematical education and knowledge dissemination across multiple institutions.

Simon BirrerView profile

Assistant Professor

• Cosmology
• Gravitational Lensing
• Dark Matter
• +2 more

Simon Birrer is an Assistant Professor in Physics and Astronomy at Stony Brook University, specializing in cosmology and gravitational lensing. He holds a PhD from ETH Zurich (2016) and previously served as Kavli Fellow at Stanford University. Birrer leads research probing dark matter and dark energy using gravitational lensing phenomena. His group develops computational tools for analyzing strong gravitational lensing data to study cosmic expansion and dark matter distribution. Research areas include time-delay cosmography, Hubble constant measurements, and machine learning applications in astrophysics. Recent publications focus on multi-messenger gravitational lensing (2025), LSST survey applications (2025), and AI-powered lens modeling pipelines (2025). His work consistently addresses fundamental cosmological tensions like the Hubble constant discrepancy. Awards: Kavli Postdoctoral Fellowship (2019-2022) Kugelpyramide Lifetime Achievement Award Experimental Innovation Award (ETH Zurich) Research Group: Leads the SBU Strong Lensing group with 9+ graduate students and postdocs. The group participates in major collaborations including LSST Strong Lensing Science Collaboration (co-chair), LSST Dark Energy Science Collaboration, and TDCOSMO.

Thomas HartmanView profile

Professor

• Quantum Gravity
• Quantum Field Theory
• String Theory
• +4 more

Thomas Hartman is a Professor of Physics in the College of Arts and Sciences at Cornell University. He received his A.B. in Physics from Princeton University in 2004 and his Ph.D. in Physics from Harvard University in 2010. His professional journey includes being a Member of the School of Natural Sciences at the Institute for Advanced Study (2010-2013), Research Associate at the Kavli Institute for Theoretical Physics, UCSB (2013-2014), Assistant Professor at Cornell University (2014-2020), Associate Professor at Cornell University (2020-2022), and Professor at Cornell University (2022-present). Hartman's research focuses on theoretical aspects of quantum gravity and quantum field theory, with particular emphasis on black hole information and strongly interacting quantum fields. His work explores four major interconnected areas: gauge/gravity duality (examining how quantum field theory degrees of freedom organize into fluctuating spacetime), black hole information paradox (investigating the relationship between classical black hole solutions and quantum statistical systems), new approaches to quantum field theory using dualities and entanglement dynamics, and the physics of de Sitter space with implications for early universe cosmology. His research employs techniques from string theory, holographic duality, general relativity, and quantum information theory. Analysis of Hartman's publication record reveals a strong focus on resolving fundamental questions in quantum gravity, particularly through the development of replica wormhole techniques that address the black hole information paradox. His work spans both highly mathematical approaches to quantum gravity and connections to potentially observable phenomena, with increasing emphasis on connections between quantum information science and gravitational physics in recent years. Member, School of Natural Sciences, Institute for Advanced Study, 2010-2013 Hartman has advised graduate students including Jeevan Chandra Namburi and Wan Zhen Chua, contributing to the next generation of theoretical physicists. His research group actively investigates the emergence of spacetime from quantum information principles and develops new mathematical frameworks for understanding quantum gravity. The group maintains strong connections with other leading institutions through collaborative projects and participates in major theoretical physics initiatives including Snowmass planning for future research directions in high energy physics. Hartman's research program represents a vital bridge between abstract theoretical concepts in quantum gravity and potential experimental tests, working to develop frameworks that could ultimately connect quantum gravity to observable phenomena in both high-energy physics and cosmological observations.

• Gravitation Theory
• Cosmology
• Theoretical Physics
• +3 more

Laur Järv is an Associate Professor in Theoretical Physics at the University of Tartu, Faculty of Science and Technology, Institute of Physics. He has been serving as Associate Professor since 2021 and is currently the Head of the Laboratory of Theoretical Physics (since 2019). His academic career at the University of Tartu spans over 20 years, with progressive roles from Post-Doc to his current position. Dr. Järv received his education at the University of Tartu (B.Sc. in Fundamental Physics, 1996; M.Sc. in Theoretical Physics, 1998) and completed his Ph.D. in Mathematical Sciences at the University of Durham in 2002. His doctoral research focused on "The enhancon mechanism in string theory" under the supervision of Clifford V Johnson. Dr. Järv's primary research interests lie in gravitational physics and cosmology, with particular focus on modified theories of gravity including teleparallel gravity, scalar-tensor theories, and nonmetricity-based approaches. His work explores the cosmological implications of these theories, including inflationary models, black hole solutions, and gravitational wave propagation. His research bridges theoretical physics with observational cosmology, addressing fundamental questions about the nature of gravity and the evolution of the universe. His publication record demonstrates a strong focus on geometric foundations of gravity, with numerous high-impact papers in leading journals like Physical Review D and Classical and Quantum Gravity. Recent work shows increasing emphasis on alternative formulations of gravity (teleparallel, symmetric teleparallel) and their cosmological applications, often collaborating with international researchers in the field. Estonian National Research Award in exact sciences (2020) for the cycle of works "Extended geometric theories of gravity" with Manuel Hohmann and Margus Saal University of Tartu Badge of Distinction (2021) Best teaching staff in the UT Institute of Physics, recognized by students (2024) Letter of recognition for supervision of Joosep Lember's award-winning student work (2022) Dr. Järv has been actively involved in academic mentoring, serving as a supervisor for student research projects and as an opponent for PhD defenses internationally. He has organized multiple international conferences on gravitational physics in Tartu, establishing the university as a hub for research in modified gravity theories. As Head of the Laboratory of Theoretical Physics, he leads a research group focused on geometric foundations of gravity and cosmological applications. Dr. Järv's laboratory has become a recognized center for research on alternative gravity theories, particularly through the organization of the biennial "Geometric Foundations of Gravity" conference series since 2017, which has attracted leading researchers from around the world to Tartu.

Takemichi OkuiView profile

Professor

• High Energy Physics
• Particle Physics
• Theoretical Physics
• +3 more

Takemichi Okui is a Professor of Physics at Florida State University (FSU), part of the Department of Physics within the College of Arts and Sciences. He holds a Ph.D. from the University of California, Berkeley (2003), and a B.Sc. from Hokkaido University, Japan (1998). His research focuses on High Energy Theory, with expertise in particle physics, cosmology, and quantum field theory. Okui has been recognized with awards such as the FSU Developing Scholar Award (2017) and University Teaching Award (2016). He has mentored multiple graduate students and postdoctoral researchers. Okui's academic roles include serving on FSU's Graduate Affairs Committee and organizing events like the Dirac Lectures. He has taught advanced courses in high energy physics, quantum field theory, and relativity. His research has been supported by grants from the U.S. Department of Energy (DOE) and Japan's JSPS, totaling over $10 million in funding. Key research interests include neutrino physics, dark matter, and axion models. Recent work explores primordial black holes and B-meson decays at the Belle II experiment. Okui actively contributes to professional services, reviewing grants for NSF/DOE and refereeing top journals like Physical Review Letters.

Hidetoshi KatoriView profile

Professor

• Physics
• Atomic Physics
• Quantum Optics
• +4 more

Hidetoshi Katori is a Japanese physicist and Professor at the University of Tokyo , renowned for his pioneering work in optical lattice atomic clocks and quantum metrology . Since 2011, he has served as Chief Scientist at the Quantum Metrology Laboratory, RIKEN , advancing precision measurements and ground-breaking experiments in fundamental physics. Key Achievements : Invention of the Magic Wavelength Technique , enabling ultra-precise optical lattice clocks; measurement of gravitational redshift using transportable strontium clocks on Tokyo Skytree. Education : University of Tokyo (alma mater). Research Interests : Katori’s work spans atomic physics , quantum optics , and metrology , focusing on high-precision timekeeping, quantum state control, and testing general relativity via experimental physics. Publications highlight his contributions to optical clocks , quantum technologies , and precision measurement , with recent advancements in cryogenic lattice clocks and transportable clock systems. Scientific Awards : I. I. Rabi Award (2008) Asahi Prize (2012) Nishina Memorial Prize (2013) Medal with Purple Ribbon (2014) Japan Academy Prize (2015) Micius Quantum Prize (2020) Breakthrough Prize in Fundamental Physics (2022) Honda Prize (2022) Katori leads the Katori & Ushijima Laboratory at the University of Tokyo, collaborating on quantum metrology projects and mentoring researchers. His work has been recognized in the Asian Scientist 100 and through grants supporting advanced clock development.

• Geometric Topology
• Geometric Group Theory
• Low-Dimensional Topology
• +6 more

Prof. Harry Hyungryul Baik is a Tenured Associate Professor at KAIST's Department of Mathematical Sciences since 2017. He holds a PhD from Cornell University (2014) and a B.S. from KAIST (2009), advised by William Thurston, John Hubbard, and Dylan Thurston. His research focuses on geometric topology, geometric group theory, and low-dimensional topology, with notable contributions to mapping class groups, Kleinian groups, and Teichmüller theory. Education: PhD in Mathematics (Cornell, 2014), B.S. in Mathematics (KAIST, 2009). Key research areas include asymptotic translation lengths, laminar groups, and circular orders of groups. He co-leads the KAIST-KIAS joint research group 2K-GATE as Director, emphasizing collaboration between topologists. Research highlights: Characterization of Fuchsian groups via laminations, unsmoothability of mapping class group actions on 1-manifolds, and exponential torsion growth in random 3-manifolds. His work bridges topology with dynamical systems and geometric group theory, often involving collaborations with institutions like KIAS and MPIM. Awards include the Sangsan Prize (2018), Young-KAST membership (2020–2023), and multiple grants from Samsung and POSCO. He advises 7 PhD students and has mentored 15+ alumni, many of whom hold postdoc positions globally. His lab actively hosts conferences like the KAIST Geometric Topology Fair. Labs/Teams: Director of 2K-GATE (KAIST-KIAS), core member of the KAIST Topology Research Group, collaborator with international networks including the Harvard-MIT-Princeton topology axis.

• Condensed Matter Physics
• High Energy Physics
• Quantum Information Science
• +5 more

Thomas Faulkner is an Associate Professor in the Department of Physics at the University of Illinois at Urbana-Champaign, where he has been a faculty member since 2014. His research bridges condensed matter physics, high energy physics, and quantum information science through the framework of holographic duality (AdS/CFT correspondence), exploring connections between quantum field theories and gravitational theories. Dr. Faulkner received his BSc in Physics from the University of Melbourne in 2003 and his PhD from MIT in 2009 under Hong Liu and Krishna Rajagopal. He held postdoctoral positions at the Kavli Institute for Theoretical Physics (2009-2012) and the Institute for Advanced Study in Princeton (2012-2013) before joining the Illinois faculty. His primary research focuses on three interconnected areas: entanglement entropy as a tool to study quantum phases and gravity; string-inspired models of strongly correlated phenomena including non-Fermi liquids and quantum criticality; and holographic approaches to QCD under extreme conditions. His work leverages theoretical tools from both condensed matter and string theory communities to address fundamental questions in quantum gravity and many-body physics. Dr. Faulkner's publication record shows an evolving research trajectory from early work on strange metal transport and QCD applications toward increasingly sophisticated investigations of entanglement structure, quantum information aspects of holography, and fundamental constraints on quantum field theories. His recent work demonstrates deep connections between quantum information theory, gravitational physics, and condensed matter phenomena. DOE Early Career Award (2018) DARPA Young Faculty Award (2015) Dr. Faulkner has taught a comprehensive range of physics courses from undergraduate College Physics to advanced graduate-level field theory courses. His research program receives significant external funding, supporting his investigations into the quantum structure of spacetime and its connections to condensed matter phenomena. He participates in a vibrant research ecosystem exploring the quantum information foundations of spacetime geometry, contributing to collaborative efforts that are reshaping our understanding of the relationship between quantum mechanics and gravity.

Jorge Eduardo Pinto SantosView profile

Professor

• General Relativity
• Quantum Gravity
• Gravitational Aspects of String Theory
• +3 more

Professor Jorge Eduardo Pinto Santos holds the position of Professor of Theoretical Physics at the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. His career includes roles as Reader (2018–2022), Lecturer (2013–2018), and a Junior Visiting Professorship at the Institute for Advanced Study in Princeton (2019–2020). He completed his Ph.D. at DAMTP between 2006 and 2010, followed by postdoctoral fellowships at Stanford University (2013–2014) and the University of California, Santa Barbara (2010–2013). His research focuses on general relativity, quantum gravity, and gravitational aspects of string theory. Key areas include numerical relativity and applications of general relativity to condensed matter physics via holography. Notable contributions involve studies on black hole binaries, extremal black holes, and the AdS/CFT correspondence. His recent work explores topics such as spinning black binaries in de Sitter space, gravitational instabilities in anti-de Sitter space, and entanglement islands in higher dimensions. He is affiliated with the High Energy Physics and Relativity and Gravitation research groups at DAMTP. His advising record includes seven doctoral students, with ongoing supervision of William Boyce (2024–present) and John Crump (2021–present). Publications highlight interdisciplinary advances, including investigations into black hole thermodynamics, cosmic censorship violations, and holographic models of condensed matter systems. His research bridges fundamental physics and numerical methods, addressing both theoretical and applied questions in gravitational physics.

Lawrence C. WashingtonView profile

Professor

• Number theory
• Cyclotomic fields
• Elliptic curves
• +5 more

Lawrence C. Washington is a Professor of Mathematics at the University of Maryland, College Park . His office is located in Mathematics Building 1105, and he can be reached at lcw@math.umd.edu . Teaching & Courses: In Spring 2023 he is teaching Cryptography 456 (TuTh 11:00–12:15) and co-organising the Algebra Seminar (MW 2–3). Office hours are held Tuesdays 1:30–2:30 and Thursdays 10:00–10:50. Research Interests: His work centres on number theory , with particular emphasis on cyclotomic fields , elliptic curves , cryptology , and Iwasawa theory . He has made extensive contributions to the study of p-adic L-functions , class groups , heuristics for class numbers , and the arithmetic of elliptic curves, often bridging deep theoretical questions with computational investigations. Textbooks & Scholarly Output: Washington is the author of several widely-used textbooks: Introduction to Cryptography with Coding Theory (3rd ed.) Introduction to Cyclotomic Fields Elliptic Curves: Number Theory and Cryptography An Introduction to Number Theory with Cryptography (2nd ed.) Elementary Number Theory Recent Publication Trends: Over the past five years his papers have focused on heuristics for Iwasawa invariants , anti-cyclotomic extensions , class groups of real cyclotomic fields , and analytic estimates for sums of prime powers . The work is characterised by a synthesis of algebraic, analytic, and computational techniques, frequently yielding explicit examples and numerical data that inform broader conjectures in algebraic number theory. Extracurricular Interests: Outside mathematics, Washington enjoys running and playing the bassoon , and he maintains a light-hearted page devoted to his favourite intersection in Chevy Chase, MD. Advising & Grants: While the provided text does not enumerate individual students or specific grants, his extensive publication record and long-standing professorship indicate ongoing supervision of graduate research and participation in funded projects in number theory and cryptography.

Mark TroddenView profile

Professor

• Cosmology
• High Energy Theory
• Dark Energy
• +7 more

Mark Trodden is the Dean of the School of Arts & Sciences and Thomas S. Gates Jr. Professor of Physics and Astronomy at the University of Pennsylvania. He previously served as the Fay R. and Eugene L. Langberg Professor of Physics, Department Chair, and Co-Director of the Center for Particle Cosmology. His career includes faculty roles at Syracuse University (2000–2009) and visiting positions at Case Western Reserve University and Cornell University. Ph.D. and M.Sc. in Physics, Brown University (1992–1995) Advanced Study in Mathematics, University of Cambridge (1990–1991) M.A. in Mathematics, University of Cambridge (1987–1990) Trodden’s research focuses on the intersection of cosmology and particle physics, addressing fundamental questions such as the nature of dark energy, dark matter, the baryon asymmetry of the universe, inflation, and modified gravity theories. His work explores how cosmological data can constrain physics beyond the Standard Model and general relativity. His publications span topics like dark energy models , inflationary spacetimes , topological defects , and BPS states in supersymmetric theories , reflecting his expertise in connecting high-energy physics to cosmological observations. At Penn, Trodden has held editorial roles for journals like Physics Letters B and Journal of Cosmology and Astroparticle Physics , and has contributed to collaborative workshops advancing cosmology and particle physics.

Raphaël Beuzart-PlessisView profile

Research Fellow

• Harmonic analysis
• Differential geometry
• Algebraic number theory
• +5 more

Raphaël Beuzart-Plessis is a CNRS Research Fellow affiliated with Aix-Marseille University and the Institute of Mathematics of Marseille (I2M) at Luminy Campus. He specializes in advanced areas of mathematics, including harmonic analysis, automorphic forms, representation theory, and number theory, with a focus on unitary groups and conjectures like Gan-Gross-Prasad. His work bridges algebraic geometry, differential geometry, and operator theory. Arithmetic, Geometry, Logic and Representations Group (AGLR) 2022-2027 ERC RELANTRA grant recipient Research interests span automorphic representations, L-functions, periods of automorphic forms, and harmonic analysis on real spherical spaces. He works extensively on the local and global Gan-Gross-Prasad conjectures, endoscopy, and supercuspidal representations. His recent publications analyze Plancher1el formulas, spherical characters, and congruences of automorphic forms. His 15 most recent publications (2014-2022) address topics such as the Gan-Gross-Prasad conjecture, Jacquet-Rallis's fundamental lemma, and the Asai Rankin-Selberg integrals. These works reflect his expertise in automorphic forms, representation theory, and number theory, often involving collaborations with leading mathematicians. 2016-2017 Peccot Prize for young mathematicians under 30 2022-2027 ERC RELANTRA grant for research in automorphic forms and representation theory Beuzart-Plessis has no listed students or laboratory teams but participates in the AGLR-RGR (Reduction Group Representations) team and has been an invited speaker at the 2022 International Congress of Mathematicians. His career includes guest lectures at Collège de France, including four sessions on Period factorizations and Plancherel formulas in 2017.

Sean CarrollView profile

Professor

• Cosmology
• Quantum Mechanics
• General Relativity
• +4 more

Sean Carroll serves as the Homewood Professor of Natural Philosophy at Johns Hopkins University and holds External Faculty status at the Santa Fe Institute. His research bridges cosmology, quantum mechanics, and philosophy, focusing on foundational questions about spacetime emergence, quantum interpretation, and complexity across cosmic scales. Carroll earned his Ph.D. from Harvard University in 1993. His academic trajectory reflects deep engagement with theoretical physics and philosophical inquiry, culminating in his current named professorship at Johns Hopkins. Carroll's research centers on the intersection of physics and philosophy, with significant contributions to quantum foundations, cosmology, and the nature of emergence. He is a leading proponent of the many-worlds interpretation of quantum mechanics and has pioneered work on the thermodynamic arrow of time, quantum decoherence, and the fine-tuning of initial cosmic conditions. His recent investigations explore discretized quantum systems, holographic principles in gravity, and the philosophical implications of quantum gravity. Analysis of his 2022-2025 publications reveals a pronounced shift toward computational approaches in quantum gravity, with increasing emphasis on finite-dimensional Hilbert spaces and GPU-accelerated modeling. His work consistently integrates quantum information theory with cosmological questions, particularly examining how spacetime geometry emerges from quantum entanglement and how complexity evolves in closed systems. Carroll's scientific recognition includes: National Science Foundation Fellowship NASA Fellowship Sloan Research Fellowship Packard Fellowship Fellow of the American Physical Society American Institute of Physics Award Fellow of the Royal Society Guggenheim Fellowship Fellow of the American Association for the Advancement of Science His research has been sustained through major fellowships from NSF, NASA, Sloan, and Packard foundations, enabling interdisciplinary collaborations across physics and philosophy. Carroll actively mentors graduate students at Johns Hopkins and contributes to public discourse through his popular science books (including the Biggest Ideas in the Universe series) and the weekly Mindscape podcast. As Fractal Faculty at the Santa Fe Institute, Carroll participates in cross-disciplinary research on complex systems, exploring how emergent phenomena arise from fundamental physical laws. His work bridges theoretical physics with broader questions about complexity in biological, cognitive, and social systems.

Christiana MavroyiakoumouView profile

Assistant Professor

• Fluid Dynamics
• Fluid-Structure Interactions
• Vortex Dynamics
• +6 more

Christiana Mavroyiakoumou is a Courant Instructor/Assistant Professor at the Courant Institute of Mathematical Sciences, New York University. She specializes in fluid dynamics and fluid-structure interactions, with a focus on vortex dynamics, membrane flutter, and bio-inspired systems. Her research integrates modeling, numerical simulations, and experimental insights to study phenomena such as bird flock formations and fish swimming hydrodynamics. Mavroyiakoumou holds a Ph.D. from the University of Michigan (2022), an M.Sc. from the University of Oxford (2017), and a B.Sc. from Imperial College London (2016). Education: PhD in Applied & Interdisciplinary Mathematics, University of Michigan (2017–2022) MSc in Mathematical Modeling and Scientific Computing, University of Oxford (2016–2017) BSc in Mathematics, Imperial College London (2013–2016) Her research interests span fluid-structure interactions, vortex dynamics, and collective locomotion. She investigates how fluid flows mediate interactions between bodies, such as the aerodynamics of bird formations and the hydrodynamics of flapping foils. Her work bridges theoretical models with experimental observations, contributing to both fundamental science and bio-inspired engineering. Mavroyiakoumou has received prestigious awards including the Joseph B. Keller Fellowship (NYU), Peter Smereka Award (U-M), and ProQuest Distinguished Dissertation (U-M). She actively engages in academic service, organizing conferences and mentoring students. Her teaching experience includes courses on mathematical modeling, differential equations, and algebra at NYU and the University of Michigan. Key Research Themes: Flow-mediated collective behavior and instability mechanisms Vortex wake interactions and their role in locomotion Membrane dynamics in inviscid and viscous flows She collaborates with experimentalists like Leif Ristroph and Jun Zhang at NYU's Applied Math Lab, focusing on experimental validation of theoretical models. Her recent work explores self-amplifying waves in bird formations and the aerodynamic origins of flight coordination.

Christoph KehleView profile

Assistant Professor

• Analysis
• Partial Differential Equations
• General Relativity
• +3 more

Christoph Kehle is an Assistant Professor in the Department of Mathematics at the Massachusetts Institute of Technology (MIT) since 2024. He works at the intersection of General Relativity, Partial Differential Equations, and Mathematical Physics, focusing on black hole stability, cosmic censorship, and gravitational collapse phenomena. Education: PhD in Mathematics (2020) from the University of Cambridge under Mihalis Dafermos, MASt (2015) at Cambridge, and BS/MS (2016) from LMU Munich. Research: His work addresses fundamental questions about black hole interiors, extremal black hole formation, and nonlinear wave dynamics on curved spacetimes. He investigates connections between Diophantine approximation and spacetime stability, as well as turbulence in AdS black hole systems. Scientific Awards: Recipient of the Research Scholar at Trinity College (Cambridge), EPSRC PhD Scholarship, Senior Scholarship Exam Prize, and scholarships from the German Academic Foundation and Max Weber-Program. Publications: 15 most recent articles span nonlinear stability of extremal black holes, critical collapse phenomena, and geometric PDEs. Collaborators include Y. Angelopoulos, R. Unger, A. Figalli, and M. Van de Moortel.