Logarithmic Structures Professors and Supervisors | ApplySharif

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David JaoView profile

Professor

University of WaterlooCanada

David Jao is a Professor in the Department of Combinatorics and Optimization at the University of Waterloo. His research focuses on post-quantum cryptography, particularly leveraging isogenies of supersingular elliptic curves for secure cryptographic protocols. He is renowned for co-developing the Supersingular Isogeny Key Encapsulation (SIKE) protocol, a leading candidate for post-quantum cryptography standards. His work spans theoretical foundations and practical implementations, including optimizing isogeny-based systems for embedded devices and ARM processors. Research interests include isogeny-based cryptosystems, elliptic curve cryptography, zero-knowledge proofs, and cryptographic security against quantum attacks. He explores applications of expander graphs and Ramanujan graphs in cryptography, alongside algorithmic improvements for cryptographic protocols such as SIDH (Supersingular Isogeny Diffie-Hellman). Key contributions include advancements in key compression techniques for SIKE, side-channel attack mitigation, and formalizing security models for post-quantum key exchange. His publications analyze cryptographic hardness assumptions, such as the discrete logarithm problem in finite groups and the semidirect product structure in isogeny-based systems. Jao’s work bridges theoretical mathematics and applied cryptography, with a focus on ensuring practical security in next-generation cryptographic systems. His research addresses challenges in quantum-resistant authentication, key establishment, and digital signatures, often emphasizing efficiency and resistance to both classical and quantum attacks.

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Vladimir KazeevView profile

Assistant Professor

University of ViennaAustria

Vladimir Kazeev is an Assistant Professor at the Faculty of Mathematics, University of Vienna , where he has held a faculty position since 2019. He also held previous academic appointments as a Szegő Assistant Professor at Stanford University (2017–2019), a postdoctoral researcher at the University of Geneva (2015–2017), and research positions at ETH Zurich (2011–2015), Russian Academy of Sciences (2008–2011), and Moscow Institute of Physics and Technology (2009). His research focuses on adaptive, data-driven numerical methods for differential equations, nonlinear low-parametric approximation, and numerical linear algebra. His work intersects computational mathematics, tensor methods, and high-dimensional problem-solving, particularly in the context of partial differential equations (PDEs) and stochastic modeling. The 15 most recent publications reveal a strong emphasis on quantized tensor-structured methods for PDEs, low-rank approximations, and high-dimensional numerical analysis. His research spans theoretical advancements in tensor decomposition, practical applications in chemical reaction networks, and novel discretization techniques for multiscale and degenerate diffusion problems. Scientific awards include the prestigious ETH Medal for outstanding doctoral theses (2016) Russian Academy of Sciences Medal for outstanding student works in mathematics (2011) Advising and teaching activities include supervising Jason Zhu (Stanford, 2019) and Simon Etter (ETH Zurich, 2014), as well as teaching advanced courses in tensor methods, numerical analysis, and PDEs at the University of Vienna, Stanford University, and the University of Geneva. His service to the community includes peer review for 15+ journals and co-organizing minisymposia at SIAM meetings.

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Lawrence C. WashingtonView profile

Professor

University of Maryland, College ParkUnited States

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.

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Joachim RosenthalView profile

Professor

University of ZurichSwitzerland

Joachim Rosenthal is a Professor of Applied Mathematics at the University of Zurich's Department of Mathematics, leading the Applied Algebra Group. His research integrates coding theory, cryptography, and algebraic geometry with applications in communications and security systems. His primary research explores algebraic coding theory including convolutional codes, subspace codes, and post-quantum cryptography. He develops algorithms for error correction, code optimization, and cryptographic protocol analysis, with emphasis on mathematical structures in finite fields and rings. Professor Rosenthal serves as President of the Swiss Mathematical Society (2024-2025) and sits on IEEE Information Theory Society's Board of Governors. He has organized multiple international conferences on coding theory and cryptography, including the Zurich COST Meeting and Workshop on Convolutional Codes. His editorial contributions include roles at Archiv der Mathematik and SIAM Journal on Applied Algebra and Geometry. Recent publications focus on code construction methods, complexity analysis in group-based cryptography, and algebraic approaches to error-correcting codes.

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Elias JarlebringView profile

Professor

KTH Royal Institute of TechnologySweden

Elias Jarlebring is a Professor in Numerical Linear Algebra at the Department of Mathematics, KTH Royal Institute of Technology, Stockholm. He has held the position of Full Professor since 2021, following his tenure as Associate Professor (2013-2021) and Dahlquist Research Fellow (2011-2013). His research focuses on numerical analysis, numerical linear algebra, matrix computations, and scientific computing. Jarlebring develops linear algebra algorithms to solve problems from various fields including systems and control, acoustics, electromagnetics, data science, quantum mechanics, and quantum chemistry. He is a core developer of NEP-PACK, a scientific computing software package for nonlinear eigenproblems. His recent publications demonstrate significant contributions to computational methods for nonlinear eigenvalue problems, matrix functions, and parameterized linear systems. The research shows a clear trajectory toward increasingly complex applications in quantum computing, data science, and wave propagation problems. Project grant, Swedish research council (2019) Ruth och Nils-Erik Stenbäcks foundation, junior grant (2019) Göran Gustafsson Prize for junior researchers (2014) Project grant for junior researchers, Swedish research council (2014-2018) Professor Jarlebring has supervised numerous PhD students including Vilhelm Peterson Lithell, Gustaf Lorentzon, Siobhán Correnty, Parikshit Upadhyaya, Emil Ringh, Antti Koskela, and Giampaolo Mele. He has received multiple research grants from the Swedish Research Council and serves as editor for BIT Numerical Mathematics, Linear and Multilinear Algebra, NACO Numerical Algebra Control and Optimization, and CALCOLO. He is actively involved in the numerical linear algebra community as a member of ILAS (International Linear Algebra Society), GAMM Activity Group on Numerical Linear Algebra, and the Nordic Numerical Linear Algebra Association. He also contributes to open source projects, particularly in the Julia programming language ecosystem.

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Parviz MoinView profile

Professor

Stanford UniversityUnited States

Parviz Moin holds the Franklin P. and Caroline M. Johnson Professorship in Stanford University's School of Engineering. As founding director of the Center for Turbulence Research (CTR)—a NASA-Stanford consortium established in 1987—he has pioneered computational methods for turbulence physics, including direct numerical simulation and Large Eddy Simulation (LES) techniques. CTR serves as an international hub for turbulence studies across engineering, mathematics, and physics disciplines. Moin's research encompasses computational physics of turbulent flows, with emphasis on boundary layer control, hypersonic aerodynamics, propulsion systems, and aircraft icing. His recent work advances high-fidelity simulations for aerospace applications, particularly developing wall models for LES that accurately capture separation phenomena under complex pressure gradients and Reynolds number effects. Recent publications demonstrate extensive applications of LES to aircraft design challenges, including transonic buffet prediction, high-lift configuration analysis, and icing aerodynamics. Investigations consistently address fundamental turbulence physics while developing practical computational tools for aerospace engineering, with particular focus on hypersonic boundary layers, flow separation mechanisms, and conjugate heat transfer in iced environments.

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Dhruv RanganathanView profile

Professor

University of CambridgeUnited Kingdom

Professor Dhruv Ranganathan is affiliated with the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, working within the Algebraic Geometry research group. His research spans foundational and applied aspects of algebraic geometry, focusing on enumerative geometry, Gromov-Witten theory, moduli spaces, tropical geometry, logarithmic structures, and classical geometry of curves. Research Focus Enumerative geometry and Gromov-Witten theory, particularly in toric varieties and tropical settings. Moduli spaces of curves and stable maps, with expansions and logarithmic structures. Applications of tropical geometry to classical problems in algebraic geometry. Brill-Noether theory and its combinatorial analogues for graphs and finite structures. Recent Publications The articles reflect a strong emphasis on logarithmic and tropical geometry, with connections to moduli spaces, enumerative invariants, and combinatorial algebraic structures. Topics include Donaldson–Thomas theory, double ramification cycles, chip firing on graphs, and motivic zeta functions. Contact Email: dr508@dpmms.cam.ac.uk Room: E1.01, Telephone: 01223 337990 Personal Homepage

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Lenya RyzhikView profile

Professor

Stanford UniversityUnited States

Lenya Ryzhik is a Professor in the Department of Mathematics at Stanford University, specializing in analysis and partial differential equations with applications in various physical contexts. His research spans stochastic processes, wave propagation, and front dynamics in random media, with significant contributions to understanding reaction-diffusion systems and their applications in mathematical biology and physics. Professor Ryzhik's research interests focus on the mathematical analysis of partial differential equations arising in physical systems. His work particularly emphasizes stochastic PDEs, wave propagation in random media, front propagation in reaction-diffusion systems, and homogenization theory. He investigates how randomness and complex structures affect wave propagation, front speeds, and transport phenomena, with applications ranging from combustion theory to population dynamics and quantum mechanics. The publication record demonstrates a consistent focus on understanding propagation phenomena in complex environments. Ryzhik's research shows a progression from classical PDE analysis toward increasingly sophisticated stochastic frameworks, particularly examining high-dimensional systems and random media. His recent work has focused on KPZ fluctuations, random heat equations, and non-local reaction-diffusion models, revealing deep connections between probability theory and partial differential equations. Alfred P. Sloan Research Fellowship (2002-2004) AFOSR NSSEFF Fellowship (2010-2015) Ryzhik has advised graduate students including Alexandra Stavrianidi, and has secured substantial research funding throughout his career. His grant history includes multiple NSF awards (DMS-9971742, DMS-0203537, DMS-0604687, DMS-0908507, DMS-1311903), ONR funding (N00014-02-1-0089, N00014-04-1-0224), and FRG support for collaborative research on nonlinear evolution problems. He co-organized a Summer School and Workshop on 'Recent Advances in PDEs and Fluids' at Stanford in 2013. Ryzhik maintains an active research group collaborating with leading mathematicians worldwide, particularly with researchers at institutions like NYU, Chicago, and various European universities. His work frequently involves interdisciplinary collaborations bridging mathematics with physics and biology.

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Qile ChenView profile

Associate Professor

Boston CollegeUnited States

Qile Chen is an Associate Professor in the Department of Mathematics at Boston College . His research focuses on Algebraic Geometry , particularly in Logarithmic Geometry , Moduli Spaces , and Gromov-Witten Theory . He has made significant contributions to understanding A^1-connectedness , Stable Log Maps , and Virtual Cycles in geometric contexts. His publications include collaborations with leading mathematicians such as Dan Abramovich , Felix Janda , Yi Zhu , and Dawei Chen . Key topics span Logarithmic GLSM , Multi-scale Differentials , and Spin/Hyperelliptic Structures . Recent Articles : Punctured logarithmic maps (2025), Gorenstein contractions (2024), Campana rational connectedness (2024) Co-advised Student : Zijian Han (Ph.D. in progress at Boston College)

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Hubert SaleurView profile

Professor

University of Southern CaliforniaUnited States

Hubert Saleur is a Professor of Physics and Astronomy at the University of Southern California and holds a Director of Research position at the IPhT CEA Saclay in France. His work bridges hard condensed matter physics and high-energy physics , with interdisciplinary focus on low-dimensional quantum field theories and statistical mechanics . He has led DOE-funded projects on quantum quench dynamics and non-equilibrium transport in nanostructures, and his research involves advanced mathematical techniques including non-semisimple representation theory . Education: Ph.D. in Physics, University of Paris (1987) Research interests span non-perturbative effects , transport out of equilibrium , topological defects , and AdS/CFT correspondence . Recent work includes geometrical correlation functions in Potts models and quantum simulation of conformal field theories on analog quantum computers. His scientific awards include: Jean Ricard Prize, French Physical Society (2018-2019) ERC Advanced Grant (2015-2016) Silver Medal, CNRS (2011-2012) Humboldt Senior Scientist Award (2001-2008) Packard Foundation Fellowship (1991-2001) Doisteau-Blutel Prize, French Academy of Sciences (1987) As an advisor, Saleur has mentored 15+ students/postdocs now in permanent research or academic roles at institutions like CNRS Paris , Imperial College , and Quantinuum Munich . He co-organizes international conferences such as Quantum Theory and Symmetry XI and serves on editorial boards for Physics Open , SIGMA , and SciPost . Recent courses include Introduction to Topological Phases and Criticality and the Renormalization Group .

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Finn LarsenView profile

Professor

University of Michigan-Ann ArborUnited States

Finn Larsen is a Professor in the Department of Physics at the University of Michigan, with office space in 3436 Randall Lab. He earned his Ph.D. from Princeton University (1996) and M.A. from Aarhus University, Denmark (1991). Education: Ph.D. in Physics, Princeton University, 1996 M.A. in Physics, Aarhus University, Denmark, 1991 Professor Larsen specializes in theoretical physics with a focus on the quantum description of black holes. His research explores how quantum fluctuations near black holes manifest as thermal radiation, providing insights into the quantum structure of space and time. He employs string theory and supergravity in anti-deSitter space to develop a theory of quantum gravity, with interdisciplinary connections to cosmology, quantum matter phases, and quantum information science. Larsen's publication record (2014-2023) centers on black hole entropy corrections, holographic dualities, and AdS/CFT correspondence. His work investigates logarithmic corrections in supergravity, attractor mechanisms in two-dimensional gravity, and universal entropy corrections for non-extremal black holes, advancing precise computational frameworks for quantum gravity. Larsen operates within the Randall Laboratory and Homer A. Neal Laboratory facilities, which house the University of Michigan's Physics Department infrastructure.

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Jürg KramerView profile

Professor

Humboldt UniversityGermany

Prof. Jürg Kramer is a Professor of Mathematics at Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on Arakelov geometry, automorphic forms (particularly modular forms), and their intersections. Notable contributions include advancements in arithmetic intersection theory with logarithmic singularities and sup-norm bounds for modular forms. He is also deeply engaged in mathematics education, leading initiatives for teacher training and promoting mathematical talent through networks like the Berlin School Mathematics Network. Active in academic service, he served as EMS Education Committee Chair (2017–2022) and President of the German Mathematical Society (2013/14). His work bridges pure mathematics with pedagogical innovation, emphasizing public understanding through popular science publications. Research: Arakelov geometry, modular forms, L-functions, hyperbolic geometry methods Education: Teacher training programs, math talent promotion, textbook authorship Affiliations: Leibniz Institute for Science and Mathematics Education (IPN), EMS, Deutsche Akademie der Technikwissenschaften Key educational contributions include Felix-Klein teacher training programs and co-authoring standards for mathematics teacher education. His publications span advanced mathematical research and accessible expositions on topics like Fermat’s Last Theorem and Riemann Hypothesis.

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Arno BergerView profile

Professor

University of AlbertaCanada

Dr. Arno Berger is a Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta. He holds a Dipl.Ing. (ME) and Dipl.Ing. (MSc) in Mechanical Engineering and Applied Mathematics from TU Wien (Vienna University of Technology), followed by a Dr. techn (PhD) and Habilitation in Applied Mathematics from the same institution. His research focuses on dynamical systems, ergodic theory, Benford's Law, nonautonomous dynamics, bifurcation theory, applied probability, and dimensional analysis. He has held visiting positions at prestigious institutions including Georgia Tech, University of Warwick, Goethe University Frankfurt, and University of Canterbury. His recent work includes studies on Saint-Venant-Polya inequalities, planar curves with position-dependent curvature, and distributions of logarithmic functions. He co-authored the seminal book An Introduction to Benford's Law (2015), and maintains the Benford Online Bibliography. His teaching spans courses like Differential Equations and Real Variables. Dr. Berger’s research has explored Benford’s Law in diverse contexts, from stochastic processes to finite-time dynamics. His articles often bridge theoretical insights with practical applications, emphasizing the ubiquity of Benford’s Law in mathematical systems.

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Nima LashkariView profile

Assistant Professor

Purdue UniversityUnited States

Nima Lashkari is an Assistant Professor of Physics and Astronomy at Purdue University, affiliated with the College of Science . His research focuses on quantum field theory (QFT), quantum gravity, black hole physics, and quantum information theory. He holds a Ph.D. in Theoretical Physics from McGill University (2012) and a B.Sc. in Physics from Sharif University of Technology (2006). Prior to Purdue, he held postdoctoral positions at MIT, the University of British Columbia, and Stanford University, and was a member of the School of Natural Sciences at the Institute for Advanced Study (2018–2019). His research explores operator algebras in quantum gravity, local S-matrix formalisms, and multipartite entanglement. Notable interests include renormalization group flows as quantum error correction, eigenstate thermalization in QFT, and holographic principles. He is a member of the It from Qubit collaboration , focusing on non-perturbative quantum field theory and gravity through quantum information lenses. Lashkari’s work has contributed to understanding gravitational dynamics via entanglement, modular theory applications in QFT, and the interplay between quantum information and spacetime geometry. His recent talks include discussions on modular intersections, time interval algebras, and gravitational energy theorems derived from information inequalities.

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Perla SousiView profile

Professor

University of CambridgeUnited Kingdom

Perla Sousi is a Professor of Probability at the University of Cambridge's Statistics Laboratory, part of the Department of Pure Mathematics and Mathematical Statistics (DPMMS). She is also a Fellow of Emmanuel College. Her research focuses on Probability Theory, Stochastic Processes, and their applications, including Random Walks, Brownian Motion, Mixing Times of Markov Chains, Percolation Theory, and Dynamical Systems. Notably, she explores phase transitions in stochastic models, cutoff phenomena in Markov chains, and the interplay between geometry and probability. Her work often involves collaboration with leading researchers in the field, addressing questions in both theoretical and applied stochastic processes. She has taught courses such as Probability IA, Percolation and Random Walks on Graphs, Advanced Probability, and Applied Probability. Her research has been published in top-tier journals like Annals of Probability , Probability Theory and Related Fields , and Communications in Mathematical Physics . Key contributions include studies on mixing times in dynamic environments, phase transitions in random walks, and capacity analysis in high-dimensional settings. Her articles highlight advancements in understanding stochastic systems' behavior, with a focus on cutting-edge topics like dynamical percolation, branching processes, and cutoff phenomena in complex networks. She actively contributes to both foundational theory and applications in stochastic modeling.

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