Find Academic Supervisors

Martin Ostoja-StarzewskiView profile

Professor

• Continuum Mechanics
• Stochastic Mechanics
• Fractal Media
• +7 more

Martin Ostoja-Starzewski , Ph.D. (McGill), is a Professor of Mechanical Science & Engineering at the University of Illinois at Urbana-Champaign , with affiliate appointments at the Beckman Institute and National Center for Supercomputing Applications . His research spans continuum mechanics , stochastic wave propagation , and fractal media , focusing on scaling laws and the statistical-to-representative volume element transition. 2006–Present: Professor, UIUC 2001–2005: Canada Research Chair, McGill University 2023: Rothschild Distinguished Visiting Fellow, University of Cambridge 2022: Member, European Academy of Sciences and Arts 2024: Academia Europaea Foreign Member His work pioneered continuum mechanics with spontaneous second law violations and tensor random fields for stochastic PDEs. He authored four foundational books, including Tensor-Valued Random Fields for Continuum Physics (2019), and edited 16 special issues. Recent 2025–2023 articles explore odd elasticity , fractal thermodynamics , and stochastic wavefronts , bridging non-equilibrium thermodynamics to granular Couette systems . Scientific accolades include the Worcester Reed Warner Medal (2018) and ASME , AAM , SES fellowships. As part-time faculty at Beckman Institute (2008–Present), he integrates bioimaging with mechanics across electrosurgery and traumatic brain injury modeling.

• Numerical Multiscale Methods
• Homogenization
• Finite Element Methods
• +1 more

Timo Sprekeler is an Assistant Professor in the Department of Mathematics at Texas A&M University's College of Arts & Sciences. He joined Texas A&M in 2024 after serving as a Peng Tsu Ann Assistant Professor at the National University of Singapore (2021-2024). Sprekeler completed his Ph.D. in Mathematics at the University of Oxford (2017-2021) following a MASt from the University of Cambridge and BSc from TU Dortmund University. His research specializes in numerical multiscale methods, homogenization theory, and finite element techniques for partial differential equations. Recent publications focus on developing computational frameworks for elliptic equations and optimization problems, with applications to materials science and control systems. Sprekeler maintains an active research group and teaches graduate-level courses in computational mathematics. His office is located in Blocker 608L, and he can be contacted via email.

• Calculus of Variations
• Continuum Mechanics
• Nonlinear Elasticity
• +5 more

Prof. Dr. Marco Cicalese is a Professor of Mathematical Continuum Mechanics at the Technical University of Munich (TUM), holding a position in the Department of Mathematics within the TUM School of Computation, Information and Technology. He has been at TUM since 2012, following roles as an Assistant Professor at the University of Naples (2005–2012) and a researcher at SISSA (2004–2005). His research focuses on variational analysis of atomistic and continuous systems, multiscale problems, and geometric inequalities. Education: PhD in Applied Mathematics from the University of Naples (2004), MSc in Physics (details not specified). His editorial roles include Associate Editorships at Acta Applicandae Mathematicae and Mathematics in Engineering . Research interests encompass calculus of variations, nonlinear elasticity, and phase transitions, with contributions to discrete-to-continuum limits and stability of geometric inequalities. Teaching includes courses on partial differential equations, calculus of variations, and mathematical modeling. His work often bridges discrete and continuous models, with applications to materials science and continuum mechanics. Recent publications explore topics like Wulff crystal emergence, fractional vortices, and surfactant effects in phase transitions.

Benjamin FehrmanView profile

Assistant Professor

• Stochastic Analysis
• Stochastic Partial Differential Equations
• Statistical Physics
• +5 more

Benjamin Fehrman is an Assistant Professor in the Department of Mathematics at Louisiana State University, specializing in stochastic analysis with a focus on stochastic partial differential equations and their applications to statistical physics. His research encompasses diffusion processes in random environments, stochastic homogenization, and randomized optimization algorithms in machine learning. His research interests center on the mathematical theory of stochastic partial differential equations, particularly those arising in statistical physics. Fehrman investigates fluctuating hydrodynamics, non-equilibrium systems, and the connection between interacting particle systems and their continuum limits. His work often involves developing well-posedness theory for challenging SPDEs with conservative noise structures and analyzing large-scale behavior in random media. Analysis of his recent publications reveals a strong focus on conservative stochastic PDEs and their connection to interacting particle systems, particularly the zero-range process and symmetric simple exclusion process. His research shows increasing attention to large deviation principles, kinetic formulations of skeleton equations, and the mathematical foundations of fluctuating hydrodynamics. The interdisciplinary nature of his work bridges probability theory, partial differential equations, and mathematical physics. Fehrman's research has been supported by prestigious grants including the National Science Foundation DMS-Probability Standard Grant 2348650, the Simons Foundation Travel Grant MPS-TSM-00007753, and the Louisiana Board of Regents RCS Grant 20130014386. He has supervised PhD students Andrea Clini (University of Oxford, 2020-2024) and Shyam Popat (University of Oxford, 2021-present), as well as postdoc Simone Floreani (University of Oxford, 2022-2023). Fehrman has also organized significant academic events including the "Interacting Particles, Fluctuating Systems, and SPDEs" workshop at the University of Oxford in June 2023, funded by an EPSRC Early Career Fellowship. His teaching portfolio includes advanced courses in stochastic analysis, stochastic differential equations, and stochastic homogenization at both Louisiana State University and the University of Oxford, where he previously held a position.

Lori Graham-BradyView profile

Professor

• Stochastic finite element methods
• Probabilistic mechanics
• Stochastic simulation of material properties
• +5 more

Lori Graham-Brady is a Professor in the Department of Civil and Systems Engineering at Johns Hopkins University's Whiting School of Engineering. She serves as Vice Dean for Faculty and directs the Center on AI for Materials in Extreme Environments (CAIMEE), while also holding secondary appointments in Mechanical Engineering and Materials Science and Engineering. Her research focuses on stochastic mechanics, multiscale modeling, and machine learning applications for understanding material variability under extreme conditions. Research areas include probabilistic mechanics, AI-driven materials design, and fragmentation modeling. Leadership roles: Director of CAIMEE, former Director of Center for Materials in Extreme Dynamic Environments, founding Director of HT-MAX, and founding Associate Director of HEMI (2012-2024). Education: PhD in Civil Engineering and Operations Research from Princeton University. Her recent work emphasizes AI for multiscale mechanics, error propagation in material characterization, and digital microstructure generation. Publications highlight stochastic modeling of ceramics, composites, and metals under impact and high-strain-rate loading. Scientific awards include the Presidential Early Career Award, Huber Civil Engineering Research Prize, and Fellowships in ASCE EMI and USACM. She led NSF IGERT programs and serves as Associate Editor for the ASCE Journal of Engineering Mechanics.

• Partial Differential Equations
• Probability Theory
• Stochastic Processes
• +3 more

Jessica Lin is an Associate Professor in the Department of Mathematics and Statistics at McGill University, where she holds a Canada Research Chair (Tier 2) in Partial Differential Equations and Probability. She is based in Burnside Hall and actively contributes to research and academic mentorship in mathematical sciences. Education: Ph.D., University of Chicago, 2014 Undergraduate, New York University (NYU) Jessica Lin's research lies at the intersection of partial differential equations and probability theory , focusing on theoretical and analytical aspects of stochastic processes and PDEs. Her work contributes to the foundational understanding of random phenomena governed by differential equations, with implications in mathematical physics and analysis. Her research, recognized through a prestigious Canada Research Chair, reflects a strong trajectory in pure and applied mathematics. While specific publications are not listed, her focus suggests contributions to areas such as diffusion processes, homogenization, and probabilistic methods in PDEs. Scientific Awards: Canada Research Chair (Tier 2): Partial Differential Equations and Probability Jessica Lin has held significant academic positions including a postdoctoral Van Vleck Visiting Assistant Professorship at the University of Wisconsin–Madison before joining McGill. She is involved in academic service, such as mentoring students through initiatives like her presentation on Applying to Graduate School , indicating active engagement in student advising and professional development. There is no mention of external grants in the provided text. Jessica Lin is affiliated with the research environment of the Department of Mathematics and Statistics at McGill University, contributing to its strength in analysis and probability. She likely participates in research groups or seminars related to PDEs and stochastic analysis, though specific labs or teams are not named in the text.

Otto FelixView profile

Professor

• Micromagnetics
• Coarsening
• Stochastic Homogenization
• +3 more

Felix Otto is a Professor and Director at the Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany) since 2010. Previously, he held Full Professorships at the University of Bonn (1999–2010) and the University of California, Santa Barbara (1998–1999). His research focuses on applied mathematics, including micromagnetics, coarsening dynamics, stochastic homogenization, and hydrodynamic limits. He has received prestigious awards such as the Gottfried Wilhelm Leibniz Prize (2006) and the Max Planck Research Prize (2001). Education: 1993 PhD in Mathematics (advisor S. Luckhaus), University of Bonn 1990 Diploma in Mathematics (advisor G. Dziuk), University of Bonn Research interests emphasize the interplay between analysis, probability, and physics, particularly in understanding complex systems through rigorous mathematical methods. His work on gradient flows and optimal transport has led to foundational contributions in applied mathematics. Awards: Collatz Prize (2007) Membership in Berlin-Brandenburg Academy (2014) Leopoldina Academy (2008) Professional activities include roles as Editor of Archive for Rational Mechanics and Analysis and advisory roles at institutions like the Weierstrass Institute and Fondation Mathématique Jacques Hadamard.

• Mathematical Analysis
• Partial Differential Equations
• Stochastic Homogenization
• +4 more

Felix Otto is a Director at the Max Planck Institute for Mathematics in the Sciences and an Honorary Professor for Analysis and Mathematical Modeling at the University of Leipzig. His research focuses on pattern formation, energy landscapes, and scaling laws, with contributions to stochastic homogenization, PDEs, and optimal transport. He has held academic positions at the University of California and the Hausdorff Center for Mathematics. Notable grants include projects on microstructure formation in thin coatings and stochastic homogenization. He has organized conferences such as the ICM satellite conference on Probability and Mathematical Physics. His work bridges pure and applied mathematics, with implications for materials science and fluid dynamics. Education: Diplom (1990), PhD (1993) from Bonn University. Postdoctoral roles at Bonn, Courant Institute, and CMU. Tenured faculty roles at UCSB (1998–2010) and Bonn (1999–2010). Research interests span stochastic PDEs, calculus of variations, and the mathematical theory of materials. Grants include BMBF and DFG projects on microstructure modeling and homogenization.

Caglar OskayView profile

Professor

• Multiscale Computational Modeling
• Composite Materials
• Structural Failure Analysis
• +7 more

Caglar Oskay is the Cornelius Vanderbilt Professor of Engineering and Chair of the Department of Civil and Environmental Engineering at Vanderbilt University. He is also a Professor of Mechanical Engineering. His research focuses on multiscale computational modeling of material and structural systems under extreme conditions, with expertise in composite materials, failure mechanisms, and computational mechanics. Dr. Oskay earned his Ph.D. in Civil Engineering from Rensselaer Polytechnic Institute (2003) and has held academic roles there before joining Vanderbilt in 2006. He was honored as an ASME Fellow in 2017 and as a Chancellor Faculty Fellow in 2016. Key research areas include multiscale failure modeling, life prediction of heterogeneous materials, and computational methods for composites and multiphysics systems. His work integrates advanced simulation techniques with experimental validation, addressing challenges in infrastructure resilience, additive manufacturing defects, and quantum computing applications in engineering. Education: Ph.D., Civil Engineering, Rensselaer Polytechnic Institute (2003) M.S., Civil Engineering, Rensselaer Polytechnic Institute M.S., Applied Mathematics, Rensselaer Polytechnic Institute B.S., Civil Engineering, Middle East Technical University Recent research highlights include stochastic modeling of geotechnical infrastructure failures, quantum-enhanced finite element methods, and predictive analytics for additive manufacturing defects. He leads interdisciplinary efforts on backward erosion piping in flood protection systems and has secured grants for multiscale modeling of titanium alloys and composites. Awards: ASME Fellow (2017) Chancellor Faculty Fellow (2016) Advising and grants: Dr. Oskay’s grants include NSF-funded studies on backward erosion piping and quantum computing applications. His research group collaborates with industry partners on materials for aerospace and energy sectors, emphasizing computational tools for failure prediction and material design. His work bridges computational mechanics with practical engineering challenges, advancing methods for infrastructure resilience, advanced materials, and sustainable design through multiscale modeling innovations.

Takahiro YabeView profile

Assistant Professor

• Computational Social Science
• Urban Resilience
• Human Mobility
• +5 more

Dr. Takahiro Yabe is an Assistant Professor at the Department of Technology Management and Innovation (TMI) and the Center for Urban Science + Progress (CUSP) within New York University's Tandon School of Engineering. His research focuses on computational social science and network science approaches to model urban resilience against disasters, pandemics, and technological disruptions. He holds a Ph.D. from Purdue University (2021) and degrees from the University of Tokyo (BS 2015, MS 2017). Previously, he was a Postdoctoral Associate at MIT's IDSS and Media Lab under Sandy Pentland and Esteban Moro. Research interests include urban resilience, human mobility, socioeconomic networks, inequality, and computational modeling. He leads the Resilient Urban Networks (RUN) Lab, an interdisciplinary group developing data-driven tools for urban systems analysis. His work has been published in top journals like Nature Human Behaviour, PNAS, and Nature Machine Intelligence. Recent grants include NSF funding for EV charging infrastructure planning (SAI 2024) and post-disaster mobility governance (HDBE 2024). Notable awards include the NICE STEP Researchers recognition (2024). His lab collaborates with urban planners, policymakers, and global institutions to advance equitable urban resilience strategies. Current projects involve open mobility data standards, disaster recovery policy assessment, and AI-driven urban modeling. Students supervised include PhD candidates Vaidehi Raipat (urban policy), Callie Clark (mobility equity), and DongHak Lee (socioeconomic networks). The lab also hosts visiting scholars like Mavin De Silva (EV charging systems) and supports master's students in mobility analysis and disaster response.

• Multiscale Computational Engineering
• Materials Modeling
• Composite Materials
• +8 more

Caglar Oskay is an Associate Professor in the Department of Civil and Environmental Engineering at Vanderbilt University, where he has held academic positions since 2006. He specializes in multiscale computational mechanics, materials modeling, and failure analysis of heterogeneous materials. His research integrates advanced numerical methods such as the Extended Finite Element Method (XFEM), reduced-order homogenization, and variational multiscale enrichment to study composite materials, viscoelastic systems, and polycrystalline structures under extreme conditions. Dr. Oskay has been recognized with awards including the Chancellor Faculty Fellow (2016–2018) and ASCE ExCEEd Fellow (2011). Education: PhD (Civil Engineering, Rensselaer Polytechnic Institute, 2003), M.S. (Civil Engineering, Rensselaer Polytechnic Institute, 2000), M.S. (Applied Mathematics, Rensselaer Polytechnic Institute, 2000), B.S. (Civil Engineering, Middle East Technical University, 1998). Research focuses on predictive computational models for material behavior under mechanical, thermal, and chemical loading. Key areas include fatigue life prediction, damage accumulation in composites, and coupled transport-deformation phenomena. Recent work addresses multiscale modeling of nickel-based superalloys, polyurea-coated composites, and energetic materials under dynamic loading. His contributions span 100+ peer-reviewed publications, including seminal studies in International Journal for Multiscale Computational Engineering and Acta Materialia . His articles emphasize multiscale frameworks for heterogeneous materials, with trends in reduced-order methods, uncertainty quantification, and interdisciplinary applications (e.g., biology, energy systems). Awards highlight his educational and technical leadership. Advising and grants include collaborative projects on composite durability and energetic material simulation. Dr. Oskay leads the Multiscale Computational Mechanics Lab (MCML), advancing computational tools for engineering materials research.

• Stochastic Analysis
• Constructive Quantum Field Theory
• Statistical Mechanics of Multiscale Systems
• +9 more

Professor Massimiliano Gubinelli is the Wallis Professor of Mathematics at the University of Oxford and a Professorial Fellow at St. Anne's College. He leads the Stochastic Analysis Group within the Mathematical Institute, where his research focuses on stochastic analysis, constructive quantum field theory, and the intersection of probability theory with partial differential equations (PDEs) and renormalization group methods. His work spans statistical mechanics of multiscale systems, analysis of PDEs with random terms, homogenisation theory, mathematical quantum mechanics, path-integral formalisms, and non-commutative probability/geometry. He has pioneered paracontrolled distribution techniques to study singular stochastic PDEs and explored rough paths in ramification and transport equations. Recent publications highlight advancements in the sine-Gordon model via stochastic quantization, nonlinear PDEs with modulated dispersion, and ρ-irregularity in stochastic systems. His research bridges stochastic analysis, quantum field theory, and PDEs, emphasizing pathwise behavior and renormalization. Scientific Awards Junior member of the Institut Universitaire de France (2013–2018) Invited session speaker at the 2018 International Congress of Mathematicians (ICM) in Rio He contributes to scientific software development as a lead developer of TeXmacs , an open-source platform for technical documents, and teaches courses such as C8.1 Stochastic Differential Equations (MT22). No formal student advisement or grant details are provided.

Sonia FlissView profile

Professor

• Wave Propagation
• Mathematical Analysis
• Numerical Analysis
• +5 more

Sonia Fliss is a Full Professor at ENSTA Paris , affiliated with the Department of Applied Mathematics and the POEMS laboratory (UMR CNRS-INRIA-ENSTA) . She teaches applied mathematics courses on partial differential equations (PDEs) , finite element methods , and periodic homogenization to undergraduate and graduate students. Doctor in Applied Mathematics (2009) Authorized to supervise research (2019) Research Interests : Sonia Fliss specializes in the modeling and numerical analysis of wave propagation in periodic, quasi-periodic, and random media . Her work includes transparent boundary conditions , guided waves , and asymptotic methods for acoustic, electromagnetic, and elastic wave phenomena . Recent Publications highlight her contributions to the Half-Space Matching Method , edge states in honeycomb structures , and scattering problems in unbounded domains . Her numerical techniques address multi-scale waveguides and time-harmonic propagation . Laboratory : As a member of the POEMS team, she collaborates on interdisciplinary projects involving mathematical analysis , computational physics , and engineering applications in domains like defence, energy, and transport .

P.M. MohiteView profile

Professor

• Composite Structures Analysis
• Micromechanics of Materials
• Finite Element Analysis
• +6 more

Dr. P.M. Mohite is a Professor at the Department of Aerospace Engineering , Indian Institute of Technology Kanpur , with a career spanning over two decades in composite materials research. He holds a PhD in Aerospace Engineering from IIT Kanpur (2007) and has been a Visiting Assistant Professor (2008-2009) and later Assistant , Associate , and Professor (2019-present) at IIT Kanpur. Research Interests include: Advanced composite structures analysis Micromechanics and damage modeling Finite element adaptive methods Metal plasticity and polymer composites Aerostructural optimization Key Publications focus on damage mechanics, structural optimization, and micromechanical characterization, with recent works on evolutionary algorithm-based composite design and boundary layer effects in laminates. Scientific Awards received: Best Student Award (B.E. Mechanical, 1998) AIAA Students Paper Contest Finalist (2006) Teaching Contributions include core courses like Composite Materials and Finite Element Methods , alongside advanced postgraduate topics in aerospace structural analysis. Advising has impacted 30+ M.Tech/Ph.D. students, including international collaborations with Université de Biskra (Algeria) and Ecole Centrale de Nantes (France).

Jayadev S. AthreyaView profile

Associate Professor

• Dynamical Systems
• Geometric Topology
• Number Theory
• +4 more

Jayadev S. Athreya is an Associate Professor in the Department of Mathematics at the University of Washington, where he also serves as Director of the Washington Experimental Mathematics Lab. His primary affiliation is with the College of Liberal Arts & Sciences. He holds dual roles as a Professor of Mathematics and Professor of the Comparative History of Ideas. Athreya co-directs the Pacific Institute for the Mathematical Sciences and is a founder of the Washington Experimental Mathematics Lab, emphasizing interdisciplinary experimental mathematics. His research interests span dynamical systems, geometric topology, number theory, and algebraic geometry. He focuses on translation surfaces, billiards dynamics, geometric flows, and probabilistic methods in geometry. His work often intersects with problems in ergodic theory, Teichmüller theory, and moduli spaces. Athreya has an extensive publication record, with recent work exploring billiard complexity in regular polygons, linear flows on translation prisms, and spectral properties of marked tori. His papers frequently address counting problems, asymptotic distribution of geometric objects, and connections between number theory and dynamical systems. He has taught advanced courses such as Quasiconformal Maps and Teichmüller Theory, Complex Analysis, and Elementary Number Theory. His pedagogical approach emphasizes hands-on exploration through the Washington Experimental Mathematics Lab, fostering collaborative research projects with undergraduates. Athreya is committed to accessible mathematics education, reflecting his alignment with Federico Ardila-Mantilla's axioms on equity and inclusivity in mathematical experiences. His work bridges theoretical research with educational outreach, advocating for mathematics as a universal, adaptable tool.