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Peng ShigeView profile

Professor

• Nonlinear expectations and stochastic calculus
• Probability theory
• Nonlinear partial differential equations
• +5 more

Peng Shige is a Professor of 1st class at the School of Mathematics, Shandong University, China. He has held the Distinguished Professor title under the Ministry of Education (Cheung Kong Scholarship) since 1999. His academic journey includes degrees from Shandong University (Physics diploma, 1971-1974), Paris-IX (1985), and Aix-Marseille University (PhD 1986, Habilitation 1992). Research focuses on nonlinear expectations, stochastic calculus, partial differential equations, and financial mathematics. Key contributions include foundational work on backward stochastic differential equations (BSDEs), the g-expectation framework, and the G-expectation theory extending probability axioms to nonlinear settings. These innovations have advanced stochastic control, financial risk modeling, and differential games. Honors include the 2020 Future Science Award, 2011 Princeton Global Scholar, and 2005 Chinese Academy of Sciences Academician status. He delivered a plenary lecture at the 2010 International Congress of Mathematicians. Peng's work integrates theoretical breakthroughs with applied domains like financial engineering. His research has been widely cited (~8k citations) and shaped modern stochastic analysis methodologies.

• Algebraic Geometry
• Hodge Theory
• Mathematical Physics
• +3 more

Matt Kerr is a Professor of Mathematics at Washington University in St. Louis, where he has been affiliated since 2010. He holds a doctorate in Mathematics from Princeton University (2003) and has held prior positions at UCLA, the Max Planck Institute, the University of Chicago, and Durham University. His research focuses on Algebraic Geometry, Hodge Theory, and Mathematical Physics, with notable contributions to period maps, normal functions, and the arithmetic of motives. He has been awarded the Guido L. Weiss Teaching and Service Award (2024), a Simons Foundation Travel Grant (2024-2029), and the Barry M. Goldwater Scholarship (1996-1997). Dr. Kerr has organized numerous conferences, including the Western Algebraic Geometry Symposium (2023), and co-edited volumes such as Period Domains, Algebraic Cycles, and Arithmetic . He currently supervises four Ph.D. students (Xiaojiang Cheng, RJ Acuna, Devin Akman, Rachel Wu) and has mentored postdoctoral researchers like Ivan Horozov and Patricio Gallardo. His teaching spans advanced graduate courses (e.g., Complex Analysis, Algebraic Geometry) and undergraduate programs, including contributions to the Washington University Math Circle and the National Alliance for Doctoral Studies mentorship initiative. His work bridges pure mathematics and theoretical physics, particularly through studies of Feynman integrals, Calabi-Yau varieties, and quantum curves. He is actively involved in academic service, including roles on hiring committees, grant reviewing, and mentoring programs. Recent research themes include regulators of algebraic cycles, singularities in Hodge theory, and compactifications of moduli spaces. Grants: NSF grants (2011–2024), FRG grants, Simons Foundation awards, and EPSRC funding. Awards: Multiple teaching and service recognitions, including the 2024 Weiss Award. Publications: Over 40 peer-reviewed articles and books, including collaborations with leading mathematicians like Phillip Griffiths and Spencer Bloch.

Matilde MarcolliView profile

Professor

• Noncommutative Geometry
• Mathematical Physics
• Number Theory
• +5 more

Matilde Marcolli is the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology (Caltech). She holds joint appointments in the Division of Physics, Mathematics, and Astronomy (PMA) and the Division of Engineering and Applied Sciences (EAS). Her research spans noncommutative geometry, mathematical physics, number theory, and mathematical linguistics. She has been recognized with prestigious awards such as the Sofja Kovalevskaya Award (2001) and the Heinz Maier Leibnitz Prize (2001). Marcolli has advised numerous PhD students and contributed to over 300 publications. Her work bridges abstract mathematics with applications in cosmology, quantum field theory, and computational linguistics. Education : PhD in Mathematics, University of Chicago, 1997 M.Sc., University of Chicago, 1994 Laurea in Mathematics, University of Pavia, 1993 Research Interests : Marcolli’s research explores the intersection of geometry, number theory, and physics. Key areas include noncommutative geometry models of particle physics and cosmology, motives in quantum field theory, and algebraic models of generative linguistics. She applies advanced techniques such as Feynman integrals, spectral action principles, and Hopf algebras to interdisciplinary problems. Grants & Awards : NSF grants DMS-2104330, DMS-1707882, and others NSERC Discovery Grant RGPIN-2018-04937 FQXi grant FQXi-RFP-1804 Collaborations & Labs : Marcolli collaborates with institutions like the Perimeter Institute and Florida State University. She leads research groups on topics such as quantum statistical mechanics, holography, and neural information networks. Her work on syntax-semantics interfaces and quantum gravity models has been pivotal in interdisciplinary studies.

Cesare FranchiniView profile

Professor

• Quantum Materials
• Computational Physics
• First Principles Methods
• +7 more

Cesare Franchini is a full Professor at the University of Vienna's Faculty of Physics, leading the Computational Materials Physics research group. His work focuses on theoretical understanding and computational modeling of quantum materials using first principles methods, particularly VASP. He maintains an active research program with numerous postdocs, PhD students, and collaborations across multiple institutions including the University of Bologna. Professor Franchini's research centers on quantum materials with many interacting degrees of freedom (lattice, spin, and electron orbital) that enable novel electronic and magnetic phases. His specific interests include metal-insulator transitions, polaron physics (electron-phonon interactions), non-collinear spin orderings, topological Dirac/Weyl phases, multiferroism, and superconductivity. He has increasingly incorporated machine learning data-driven tools and diagrammatic Monte Carlo techniques into his computational approaches. Analysis of his recent publications (2024-2025) reveals a strong focus on polaron physics across multiple material systems, with significant work on hematite, titanium dioxide, and quantum paraelectrics like KTaO3. His research increasingly integrates machine learning with traditional first-principles methods, particularly for studying hydrogen diffusion, surface science phenomena, and electronic structure calculations. There's also substantial work on single-atom catalysis and the application of advanced computational techniques to understand fundamental charge transport mechanisms in energy materials. Professor Franchini actively supervises numerous PhD students and postdocs, including Andrea Angeletti, Viktor Birschitzky, Lorenzo Celiberti, and several others working on diverse aspects of computational materials physics. He leads or participates in major research projects including TACO (Taming Complexity in Materials Modeling), DCAFM (Doctoral College Advanced Functional Materials), and the recently launched Spin-orbit entangled anharmonic polarons project. His group maintains strong collaborations with experimentalists at Charles University, Technical University of Vienna, and other international institutions.

• Algebraic Geometry
• Hodge Theory
• Algebraic Cycles
• +3 more

Matt Kerr is a Professor of Mathematics at Washington University in St. Louis, where he has been a faculty member since 2010. He earned his Ph.D. in Mathematics from Princeton University in 2003 and held previous positions at UCLA, the Max Planck Institut, the University of Chicago, and Durham University. Professor Kerr's research centers on Algebraic Geometry and Hodge Theory, with particular expertise in Algebraic Cycles, Moduli Spaces, Normal Functions, and Arithmetic Geometry. His work explores the deep connections between topological invariants of algebraic varieties and their finer analytic and arithmetic properties, contributing to fundamental questions like the Hodge conjecture. An analysis of Kerr's recent publications (2020-2025) reveals a sustained focus on degenerations of Hodge structures, compactifications of moduli spaces, and arithmetic aspects of algebraic cycles. His research trajectory shows increasing sophistication in applying Hodge-theoretic methods to problems in mirror symmetry, Calabi-Yau varieties, and quantum curves, while maintaining connections to classical problems in algebraic geometry. Professor Kerr has secured significant research funding through multiple NSF grants, including 'Algebraic cycles, Hodge theory, and arithmetic' (2011-14), 'FRG: Hodge theory, moduli, and representation theory' (2014-19), 'Asymptotic Hodge theory, fibered motives, and algebraic cycles' (2021-24), and 'Algebraic cycles and normal functions' (2025-27). He has mentored numerous postdoctoral researchers and PhD students, including current advisees Devin Akman and Rachel Wu, and has graduated PhD students such as Ryan Keast, Genival da Silva Jr., and Xiaojiang Cheng. Active in the mathematical community, Kerr organizes major conferences including the Western Algebraic Geometry Symposium (2023), a special session on 'Hodge Theory, Algebraic Cycles, and Arithmetic' for the AMS Central Sectional Meeting (2025), and 'Hodge-theoretical and Combinatorial Aspects of Mirror Symmetry' (2026). His teaching includes undergraduate honors mathematics courses and graduate-level algebraic geometry.

Uwe HartmannView profile

Professor

• Nanotechnology
• Nanostructure Research
• Scanning Probe Microscopy
• +6 more

Prof. Dr. Uwe Hartmann is a faculty member and Chair Holder at Saarland University, affiliated with the Institute of Experimental Physics within the Faculty of Natural Sciences and Technology. His research group specializes in nanostructure research and nanotechnology, with a strong focus on instrumentation, nanofabrication, and quantum systems. He is based in Building C6.3, Saarbrücken, Germany. His research interests lie at the intersection of physics and engineering, particularly in nanotechnology , scanning probe microscopy , quantum device characterization , and nanofabrication . His work spans fundamental investigations of nanostructures to applied developments in microsystem technology and industrial nanomanufacturing. He has contributed significantly to cleanroom technologies, surface physics, and the transition from micro- to nanoscale systems. The recent publications highlight a strong thematic focus on enabling technologies for nanoscale science, including instrumentation (e.g., atomic force microscopy), fabrication methods, and analysis of quantum and metallic nanostructures. The research demonstrates a consistent trajectory toward understanding and manipulating matter at the nanoscale for both scientific and industrial applications. Scientific Awards: No awards explicitly mentioned in the provided text. Prof. Hartmann actively supervises doctoral and diploma students, indicating a strong commitment to academic mentoring. His group includes PhD students and scientific staff, suggesting ongoing research projects and potential grant funding, although specific grants are not listed. He has led a long-standing research group with technical staff supporting experimental work, indicating a well-established laboratory infrastructure focused on experimental physics and nanotechnology development. Laboratory and Team: The working group includes scientific staff (e.g., Dr. Haibin Gao), PhD and diploma students, and technical staff (electronics engineers, mechanics, workshop heads), forming a multidisciplinary team capable of both theoretical and hands-on experimental research in nanotechnology. The presence of a dedicated workshop and technical personnel underscores the practical, device-oriented nature of the research.

Victor H. MollView profile

Professor

• Classical Analysis
• Symbolic Computation
• Special Functions
• +3 more

Victor H. Moll is a Professor of Mathematics at Tulane University, New Orleans, Louisiana. He holds a Ph.D. and M.S. in Mathematics from New York University (1984/1982) and a B.S. in Mathematics from Universidad Santa Maria (1978). His research focuses on Classical Analysis, Symbolic Computation, Special Functions, and Number Theory. He has held visiting positions at Universidad Santa Maria (Chile) and the Courant Institute (NYU), and served as a postdoctoral researcher at Temple University. Moll has contributed extensively to integral evaluations, particularly through the Gradshteyn and Ryzhik series and the method of brackets for definite integrals. His work bridges pure mathematics with applications in physics and combinatorics. His research spans asymptotic analysis of polynomials, valuation theory of number sequences, and symbolic computation techniques. Notable contributions include studies on Jacobi polynomials, Catalan numbers, and hypergeometric inequalities. Moll has collaborated on projects involving Feynman diagrams and modular-type transformations, showcasing interdisciplinary reach. His academic journey includes roles from Assistant Professor (1986–1992) to full Professor (2001–present) at Tulane. While no specific grants or awards are listed, his prolific publication record (over 200 articles from 2015–2025) highlights sustained academic engagement. His work often explores connections between classical mathematical analysis and modern computational methods.

• Mathematics
• Physics
• Biology
• +23 more

Andrei Khrennikov is Professor of Mathematics at the Department of Mathematics, Linnaeus University, where he also serves as director of the International Center for Mathematical Modeling (ICMM) . He leads a vibrant research group focused on interdisciplinary modeling in physics, biology, cognition, and social systems. Research Interests: His work spans a vast interdisciplinary landscape, including mathematical physics, p-adic and non-Archimedean analysis, quantum foundations, quantum-like modeling of cognition and decision-making, econophysics, and biological dynamics . He is a pioneer in applying quantum probability and formalism outside quantum physics, especially in psychology and social sciences. The Växjö series of quantum theory conferences , which he organizes, is the longest-running continuous conference series on quantum foundations, fostering dialogue between theorists, experimentalists, and philosophers. His recent publications (2021–2025) show a strong focus on quantum cognition, p-adic biology, entanglement models, and social laser theory , often leveraging generalized probability and open quantum systems frameworks. Scientific Contributions: Developed quantum-like models for cognition, decision-making, and biological processes. Pioneered use of p-adic and ultrametric analysis in genetics and brain dynamics. Advanced classical random field models as alternatives to quantum interpretations. Introduced the social laser model for collective emotional amplification in societies. He is actively involved in major research projects such as QUARTZ (Quantum Information Access and Retrieval Theory) and DYNALIFE (Information, Coding, and Biological Function) . His work bridges mathematics, physics, and cognitive science, promoting a unified framework for understanding complex systems through quantum-inspired tools.

• Probability Theory
• Statistical Mechanics
• Random Walks
• +3 more

Dr. Quirin Thomas Simon Vogel is a Senior Lecturer at the Department of Statistics, University of Klagenfurt. He previously held postdoctoral positions at the Technical University of Munich, New York University Shanghai, and served as an Interim Professor at Ludwig-Maximilians University of Munich. His research bridges probability theory with statistical mechanics and algorithmic applications. Current role: Senior Lecturer (2025) Previous roles: Postdoc (TUM, NYU Shanghai), Interim Professor (LMU Munich) His research focuses on: Random walks and their geometric/stochastic properties Randomized algorithms with applications in statistical models Quantum-inspired probabilistic systems (e.g. interacting bosonic loop soups) Large deviation theory for complex systems Percolation and phase transitions in particle models The articles reflect trends in probability theory, mathematical physics, and algorithmic applications. Key topics include high-dimensional percolation, Bose gas models, neural network theory, and stochastic geometry. The work combines rigorous mathematical analysis with interdisciplinary applications in physics and computer science. Scientific awards and functions cannot be determined from the provided data, as they describe other researchers. The department's research activities include projects on statistical learning, quantum models, and algorithmic probability, though Vogel's direct involvement in these specific funded projects isn't explicitly stated.

Ivan GuoView profile

Associate Professor

• Mathematical Finance
• Optimal Transport
• Stochastic Control
• +3 more

Associate Professor Ivan Guo is a faculty member at Monash University's School of Mathematics, where he leads research in mathematical finance and stochastic modeling. He obtained his PhD in Mathematics from the University of Sydney in 2014 and currently accepts PhD students. His work bridges theoretical mathematics and practical financial applications, with active projects spanning 2022-2026. Research Focus Dr. Guo's research centers on three interconnected areas: Optimal Transport Applications : Developing transport-based methods for financial model calibration and derivatives pricing Market Microstructure : Analyzing market-making strategies, liquidity, and high-frequency trading dynamics Sustainable Finance : Modeling green investment impacts and energy market transitions using game-theoretic approaches Active Projects Can green investors drive transition to a low-emission economy? (2022-2026) Integrating energy storage into electricity markets (2022-2024) Data61 CRP #46 - Risklab mathematical sciences (2020-2023) Efficient computational techniques for econophysics (2019-2021) The role of liquidity in financial markets (2017-2020) His research consistently addresses model uncertainty, volatility dynamics, and computational methods across 18+ publications since 2012.

James ChelikowskyView profile

Professor

• Computational Materials Science
• Quantum Mechanical Simulations
• Magnetic Materials
• +4 more

James Chelikowsky is Professor and W. A. "Tex" Moncrief, Jr. Chair in Computational Materials at The University of Texas at Austin's Oden Institute for Computational Engineering and Sciences (ICES). His research pioneers quantum mechanical simulations for materials design and discovery across multiple domains. His educational background includes: B.S. in Physics from Kansas State University (1970) Ph.D. in Physics from University of California at Berkeley (1975) Chelikowsky's research spans computational materials science with focus on quantum models for functionalized nanostructures, simulations of liquids and crystal growth, "green magnetism" in dilute magnetic semiconductors, oxide defects, materials informatics, and high-performance electronic structure algorithms. His work bridges theoretical physics with practical materials engineering to solve complex problems in energy and electronics. Analysis of his 2012-2022 publications reveals evolving focus from fundamental quantum simulations toward machine learning integration for magnetic materials discovery, while maintaining strong contributions to two-dimensional materials and interfacial phenomena. Key trends include increased computational complexity and interdisciplinary collaboration with experimental groups. His distinguished honors include: Feynman Prize for Theory (2022) FMD John Bardeen Award (2021) Aneesur Rahman Prize (2013) Multiple society fellowships (MRS, AAAS, APS) Guggenheim Fellowship (1996) As leader of an active research group, Chelikowsky mentors graduate students in computational methods development. While specific grant details aren't provided, his sustained publication record and named chair position indicate substantial ongoing research funding. His group maintains strong industry and national laboratory collaborations evident in co-authorship patterns. The Computational Materials Group operates through ICES with research facilities supporting high-performance computing for materials simulations. Current projects focus on machine learning-guided materials discovery and quantum mechanical modeling of novel electronic materials.

• Financial Mathematics
• Insurance Mathematics
• Stochastic Processes
• +3 more

Prof. Francesca Biagini is a Full Professor of Applied Mathematics at the University of Munich (LMU), leading the Department of Mathematics within the Faculty of Mathematics, Computer Science, and Statistics. She holds additional roles as Vice President for International Affairs and Diversity at LMU since 2019, and served as President of the Bachelier Finance Society (2022–2023). Her academic career includes professorships at LMU (since 2009) and prior roles at the University of Bologna and Leibniz University Hannover. She specializes in financial and insurance mathematics, focusing on asset pricing, systemic risk, and model uncertainty. Education: PhD in Mathematical Finance (Scuola Normale Superiore, 2001), Laurea in Mathematics (University of Pisa, 1997). She has advised over 14 PhD students and 180+ master/bachelor students, collaborating with institutions like Allianz, MunichRe, and SwissRe. Research: Biagini’s work bridges financial and actuarial mathematics, including stochastic processes, systemic risk modeling, and insurance frameworks. Notable contributions include modeling asset bubbles, xVA calculations, and liquidity-based frameworks. She has published extensively in journals like *Finance and Stochastics* and *Mathematical Finance*. Awards and Activities: Recipient of the Prinzessin Therese von Bayern Preis (2019) and Zonta Clubpreis (2015). She organizes international conferences, serves on editorial boards (e.g., *Mathematical Finance*), and chairs the Munich Risk and Insurance Center. Her research is funded by grants from BayernLB and LMU Excellence programs.

Konstantin WernliView profile

Assistant Professor

• Quantum Field Theory
• Mathematical Physics
• Geometric Quantization
• +3 more

Konstantin Wernli is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His research focuses on quantum field theory, geometric quantization, and mathematical physics, with a particular emphasis on topological field theories and perturbative methods. He has contributed to foundational work in Chern-Simons theories, BV-BFV formalisms, and geometric analysis. His research interests include quantum field theories, algebraic geometry, and the intersection of topology with physics. Notably, he explores combinatorial approaches to quantum field theory, geometric quantization frameworks, and the application of advanced mathematical tools to solve problems in theoretical physics. Recent work includes studies on partition functions, constrained dynamical systems, and the globalization of sigma models. His articles often bridge abstract mathematics with physical applications, such as analyzing heat kernels, theta invariants, and entanglement polytopes. Wernli is a project participant in the Sapere Aude grant 'FROM PERTURBATIVE TO NON-PERTURBATIVE QUANTUM FIELD THEORY BY CUTTING AND GLUING' (2024–2028), which aims to advance non-perturbative QFT techniques. He has advised on research projects involving heat kernel analysis and geometric quantization, though no formal student advisees are listed.

Adriana Ocejo MongeView profile

Associate Professor

• Mathematical Finance
• Actuarial Science
• Stochastic Optimal Control
• +7 more

Adriana Ocejo Monge is an Associate Professor of Mathematics and Undergraduate Program Director at the University of North Carolina at Charlotte, affiliated with the Mathematics & Statistics Department. She holds a PhD in Statistics from the University of Warwick (2014) and degrees from Universidad de Sonora, Mexico. Her research focuses on mathematical finance, actuarial science, and stochastic optimal control, with emphasis on risk management, derivatives pricing, and regime-switching models. She directs the Actuarial Science Program and contributes to the Mathematics Honors Program and MS in Mathematical Finance. Her research explores topics such as stochastic volatility, portfolio allocation, variable annuities, and optimal stopping problems. Recent work includes applications of Feynman-Kac formulas in regime-switching diffusions and risk-adjusted fee models in portfolio optimization. Her publications span journals like Annals of Applied Probability and Stochastic Processes and their Applications. Dr. Ocejo has received the J.L. Doob Best Paper Award for her contributions. Her advising roles include overseeing actuarial programs and graduate concentrations in actuarial statistics. She is involved in the Math Alliance and has collaborated on projects addressing retirement planning and actuarial valuation challenges.

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

Professor Ivo Sachs is a distinguished theoretical physicist at the Ludwig-Maximilians-Universität München (LMU), where he holds a position at the Arnold Sommerfeld Center for Theoretical Physics with a Chair on Cosmology. His research spans multiple areas of theoretical physics with a particular focus on string theory, quantum field theory, and cosmological applications. He maintains an active research program with numerous recent publications in prestigious journals. Professor Sachs' research interests center around fundamental theoretical physics, with significant contributions to string field theory, cosmological perturbation theory, and the mathematical structures underlying quantum gravity. His work often bridges abstract mathematical concepts with physical applications, particularly in understanding the early universe and quantum aspects of gravity. He has developed innovative approaches to studying cosmological correlators, spinning particles, and the relationship between quantum field theory and gravitational physics. Analysis of his recent publications reveals a strong focus on the intersection of cosmology and string theory, with particular attention to mathematical structures in quantum gravity. His work demonstrates consistent exploration of how quantum field theory techniques can be applied to cosmological problems, especially regarding correlation functions in the early universe. He frequently collaborates with researchers across Europe, indicating an active international research network. Martín Enríquez Rojo (PhD, 2022): Asymptotic symmetries in FLRW and deformations of gravitational symmetry algebras