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George TurcasView profile

Lecturer

• Number Theory
• Arithmetic Geometry
• Elliptic Curves
• +4 more

George Turcas is a Lecturer in the Department of Mathematics at Babeș-Bolyai University in Cluj-Napoca. His primary research interests lie in Number Theory, focusing on Diophantine equations, elliptic curves, modularity, and Galois representations. He earned his PhD from the University of Warwick in 2019 under Samir Siksek, preceded by an MASt (Part III) at the University of Cambridge. Turcas has held postdoctoral positions at IMAR and the University of Warwick. His teaching includes courses on affine geometry, geometric complements, and specialized master’s programs for educators. He actively contributes to conferences and publishes on topics bridging number theory with algebraic geometry and cryptography. Research highlights include studies on isogenies of elliptic curves, mod p Galois representations, and Fermat’s equation over quadratic fields. His work often involves computational tools like Magma for verifying mathematical conjectures. Despite no explicitly listed awards, his prolific publication record reflects significant contributions to the field. He coordinates teaching activities across multiple departments and manages student communications via MSTeams. Turcas collaborates internationally, presenting at events in Croatia, Italy, Spain, and the UK.

Leonid V. KovalevView profile

Professor

• Geometric Mapping Theory
• Metric Geometry
• Functional Analysis
• +6 more

Leonid V. Kovalev is a Professor and Associate Chair of the Department of Mathematics at Syracuse University, within the College of Arts and Sciences. His research focuses on geometric mapping theory, metric space analysis, complex analysis, and potential theory. He holds leadership roles in undergraduate mathematics education and has contributed to the field through numerous NSF-funded projects. Education details are not explicitly listed, but his academic trajectory is evident through his extensive research output and faculty position. His work bridges pure mathematics disciplines such as geometric analysis, functional analysis, and complex variables, with applications to variational problems and harmonic mappings. Recent research emphasizes topics like Lipschitz properties in metric spaces, trigonometric polynomials, and geometric variational problems. His articles explore theoretical foundations and computational aspects of these areas, often intersecting with Fourier analysis and operator theory. Grants: NSF-funded projects include 'Lipschitz Analysis in Normed and Metric Spaces' (2018–2022) and 'NEAM 2019: The 4th Northeastern Analysis Meeting' (2019–2020). Teaching: Courses include Functional Analysis, Numerical Methods, and Calculus for Business and Life Sciences. Service: Serves as Associate Chair for Undergraduate Studies and advises Mathematics majors/minors. Administers WeBWorK course platforms. Labs/Teams: Collaborates on projects involving geometric analysis and metric space theory through his research group and conference organizing activities.

Jeong-Hoon SongView profile

Associate Professor

• Computational Multiscale Analysis
• Computational Multiphysics Analysis
• Computational Material Design
• +3 more

Jeong-Hoon Song is an Associate Professor in the Department of Civil, Environmental and Architectural Engineering at the University of Colorado Boulder. His research focuses on computational multiscale and multiphysics analysis, particularly in failure mechanisms, material design, and real-time model reduction. He holds a PhD from Northwestern University (2008) and MS/BS degrees from Yonsei University (2003/2001). Prof. Song’s work bridges atomistic simulations with continuum mechanics to predict material behavior under coupled thermal and mechanical loads. His lab (CM2 Lab) develops advanced numerical methods like the extended finite element method (XFEM) and strong-form meshfree collocation approaches for fracture mechanics, multiphase solidification, and additive manufacturing processes. Professional Memberships: ASCE EMI, USACM, IACM Key Research Themes: Multiscale modeling, computational material synthesis, and real-time simulation techniques Recent publications highlight advancements in frictional contact modeling, nano-crystal solidification, and continuum point cloud methods. His research emphasizes interdisciplinary applications, including aerospace and civil infrastructure durability under extreme conditions.

Houman OwhadiView profile

Professor

• Numerical Approximation
• Machine Learning
• Uncertainty Quantification
• +3 more

Houman Owhadi is the IBM Professor of Applied and Computational Mathematics and Control and Dynamical Systems at the California Institute of Technology. His research explores interplays between numerical approximation, statistical inference, and learning from a game-theoretic perspective, with applications in numerical homogenization, operator-adapted wavelets, fast solvers, Gaussian process regression, and uncertainty quantification. His current research focuses on computational information games, kernel flows, and the development of universal scalable solvers. He has made fundamental contributions to uncertainty quantification through adversarial approaches and the development of optimal statistical estimators. Professor Owhadi has received numerous awards including the Vannevar Bush Faculty Fellowship (2024), Germund Dahlquist Prize (2019), and SIAM Fellowship (2022). His research has been supported by AFOSR, DARPA, DOE, NASA, NSF, and ONR.

• Mathematical Analysis
• Numerical Analysis
• Semiconductor Physics
• +3 more

Nella Rotundo is an Associate Professor (Ricercatrice di tipo B) in Mathematical Analysis (MAT/07) at the University of Florence, Department of Mathematics. Her research focuses on mathematical modeling of semiconductors, partial differential equations, and numerical methods. She has held postdoctoral positions at the Weierstrass Institute (Berlin), McGill University (Montreal), and the University of Calabria. She is a Principal Investigator in the MATH+ Incubator project IN-B3 addressing doping variations in silicon crystals. Her academic background includes a PhD in Mathematics applied to Engineering (University of Catania), and a Master's in Mathematics (University of Calabria). She has contributed to over 9 peer-reviewed publications since 2010, with recent work emphasizing numerical methods for semiconductor simulation and inverse problems in materials science. Rotundo has presented research at conferences including the Young Applied Mathematicians Conference (Rome 2024) and AMaSiS (Berlin). Her technical contributions span finite element methods, optimal control theory, and computational approaches to semiconductor characterization.

• Partial Differential Equations
• PDEs Methods in Networks Analysis
• Actuarial Sciences
• +5 more

Nasreddine Megrez is an Associate Professor of Mathematics and Actuarial Sciences at the Dubai Campus of Heriot Watt University. He holds a MSc and PhD in Applied Mathematics from Toulouse University, France, and a Professional Master in Finance/Economics from the University of Quebec in Outaouais, Canada. His teaching roles include coordinating Year 4 programs and previously directing the MSc IT for Business program. His research focuses on Partial Differential Equations, PDEs in network analysis, Actuarial Sciences, and Mathematical Finance, with notable work on credit card fraud detection algorithms and Bayesian network methodologies. Key research contributions include applying PDE methods to network analysis and developing statistical models for dependence in financial data. He has taught extensively across North American systems at institutions like the University of Alberta and Alfaisal University (MIT-affiliated programs). Administrative experience includes Chair of Mathematics at Alfaisal University and Director roles at Heriot Watt. His work aligns with UN Sustainable Development Goals related to financial inclusion and crime prevention through innovations in fraud detection systems. No scientific awards are explicitly mentioned. He is currently accepting PhD students for 2024, focusing on statistical data science and actuarial applications. His research network spans collaborations in mathematical finance, computational biology, and cybersecurity, reflecting his interdisciplinary approach to solving complex analytical problems.

Ram P MurtyView profile

Professor

• Number Theory
• Zeta Functions
• Sieve Methods
• +3 more

Ram P Murty is a distinguished Professor of Mathematics and Statistics at Queen's University, holding the title of A. V. Douglas Distinguished University Professor and Queen's Research Chair. He is affiliated with the Faculty of Arts and Science and cross-appointed in the Department of Philosophy. His research focuses on number theory, zeta functions, and sieve methods, with contributions to graph theory and Indian philosophy. He has supervised numerous students and postdoctoral fellows, including notable names like Abhishek Bharadwaj and Seoyoung Kim. Murty earned his Ph.D. from MIT (1980) under Harold Stark and Dorian Goldfeld. He has been recognized with prestigious awards, including the Balaguer Prize (1996), Fellowships from the Royal Society of Canada and American Mathematical Society, and the CRM-Fields-PIMS Prize (2024). His interdisciplinary work spans mathematical philosophy, with publications on Indian thought and yoga. He teaches courses on the history of mathematics and Indian philosophy, reflecting his dual academic engagement. Murty's academic network includes adjunct roles at institutions like the Tata Institute of Fundamental Research and the Harish-Chandra Research Institute. His research integrates advanced number theory with applications in cryptography and graph theory, demonstrating a commitment to both theoretical and applied mathematics.

Emmanuil GeorgoulisView profile

Professor

• Numerical Analysis
• Computational Methods for Partial Differential Equations
• Finite Element Methods
• +3 more

Emmanuil Georgoulis is a Professor of Mathematics at Heriot-Watt University, part of the School of Mathematical & Computer Sciences. He holds an external position as Professor at the National Technical University of Athens. His research focuses on numerical analysis, particularly computational methods for PDEs in solids, fluids, biology, and finance, including finite element methods, discontinuous Galerkin methods, and multiscale techniques. He also contributes to approximation theory, including multivariate approximation and high-dimensional methods. Georgoulis has supervised numerous PhD students and postdocs, with active roles in academic service, including editorial work for the SIAM Journal on Numerical Analysis and organizing the One World Numerical Analysis Seminar and European Finite Element Fair. His work emphasizes adaptivity, error analysis, and high-performance computational strategies. Key contributions include publications on stabilized finite element methods, a posteriori error estimation, and discontinuous Galerkin approaches. His research bridges theoretical analysis and practical applications in engineering and science, with a focus on advancing numerical methods for complex systems.

Yueh-Ju LinView profile

Assistant Professor

• Geometric Analysis
• Differential Geometry
• Partial Differential Equations
• +4 more

Dr. Yueh-Ju Lin is an Assistant Professor in the Department of Mathematics, Statistics, and Physics at Wichita State University (WSU), affiliated with the Fairmount College of Liberal Arts and Sciences. Her research focuses on Geometric Analysis, Differential Geometry, and Partial Differential Equations, particularly nonlinear elliptic PDEs in conformal geometry and higher-order curvature functionals. She earned her PhD in Mathematics from the University of Notre Dame (2014) under Prof. Matthew Gursky, followed by postdoctoral positions at the University of Michigan and Princeton University as an Instructor. Her academic activities include organizing the 2025 Kansas Math Symposium and leading WSU's Geometry, Topology, and Analysis seminar. Key research interests include Q-curvature deformations, conformally variational invariants, and fourth-order elliptic PDEs. Recent work emphasizes geometric analysis techniques applied to curvature integrals, operator constructions, and volume comparisons. She actively contributes to academic events like the WSU Sonia Kovalevsky Day.

Pranabesh DasView profile

Assistant Professor

• Number Theory
• Diophantine Approximation
• Diophantine Equations
• +4 more

Dr. Pranabesh Das is an Assistant Professor in the Department of Mathematics at Xavier University of Louisiana. He holds a Ph.D. in Mathematics from the Indian Statistical Institute, India. His research focuses on Number Theory, particularly Diophantine Approximations, Equations, and Transcendental Number Theory. He also explores applications in elliptic curve cryptography and random number generation. Dr. Das has been awarded prestigious grants including the AMS-Simons Research Enhancement Grant and an AARMS Postdoctoral Fellowship. He actively contributes to academic communities through organizing conferences like the Bayou Arithmetic Research Days 3 (BARD 3) and co-organizing seminars such as the Number Theory Seminar at Dalhousie University. His work has been published in journals like the International Journal of Number Theory and Mathematika. Education: Ph.D. in Mathematics from Indian Statistical Institute, India Dr. Das's research interests span theoretical and applied number theory, with a focus on solving Diophantine equations and exploring their implications in cryptography. He has delivered invited talks at institutions including the University of South Alabama and Louisiana State University, covering topics like multi-Frey-Helleguarch approaches and rational points on superelliptic curves. His recent grants support research in enhancing mathematical problem-solving techniques and fostering collaborative projects. He has organized food events in Canada and is involved in academic outreach through conferences and workshops. His publications address diverse topics from repdigits in recurrence sequences to rational solutions of superelliptic curves.

• Geometric Analysis
• Riemannian Geometry
• Differential Geometry
• +2 more

Brian Allen is an Assistant Professor of Mathematics at Lehman College, CUNY, and doctoral faculty at the CUNY Graduate Center, specializing in geometric analysis. Previously taught at United States Military Academy (West Point) and University of Hartford. His research focuses on Riemannian geometry convergence theories, scalar curvature stability, and geometric analysis applications in mathematical physics. Education includes: PhD in Geometric Analysis, University of Tennessee Recent publications demonstrate consistent focus on stability theorems in Riemannian geometry, Gromov-Hausdorff convergence, and spacetime metrics, with increasing applications to mathematical physics. Academic leadership includes co-organizing the CUNY Geometric Analysis seminar and maintaining active research collaborations.

Rebecca ConleyView profile

Assistant Professor

• Numerical Analysis
• Finite Element Method
• Quantum Computing
• +2 more

Dr. Rebecca Conley is an Assistant Professor of Mathematics at Saint Peter's University, where she has taught since 2016 while serving as Associate Director of Faculty Research & Development. Her contact information includes rconley@saintpeters.edu and Loyola Hall, Room 25. Her academic credentials include: Ph.D. from Stony Brook University M.A. from Hunter College B.A. from Pace University Dr. Conley's research centers on numerical analysis with specialization in finite element methods, where she pioneered the Adaptive Extended Stencil Finite Element Method (AES-FEM) to overcome element quality limitations. She has expanded into quantum computing for solving boundary value problems and developed innovative statistics education activities emphasizing active learning through technology integration. Her publication record from 2010-2024 reveals three distinct research thrusts: foundational AES-FEM work (2013-2016), quantum computing applications (2020-2023), and statistics pedagogy (2021). The 2016 cluster shows concentrated innovation in numerical methods, while recent work demonstrates strategic expansion into quantum algorithms and educational design. Her professional recognition includes: Varrichio Teaching Award (2018) Dr. Conley maintains an active teaching schedule across algebra, probability, and statistics courses but has not publicly disclosed research grants or formal student advising relationships. Her collaborative work with computational scientists like X. Jiao and J. Glimm suggests interdisciplinary engagement without dedicated laboratory facilities.

• Calculus of Variations
• Materials Science
• Mathematical Analysis
• +3 more

Annika Bach is an Assistant Professor at Eindhoven University of Technology . Her research focuses on mathematical analysis and materials science, with a strong emphasis on calculus of variations, stochastic homogenization, and discrete-to-continuum limits. She explores topics such as topological defects, phase-field models, and Γ-convergence in both theoretical and applied contexts. Her work bridges stochastic processes and solid mechanics, addressing challenges in heterogeneous materials, fracture mechanics, and surface physics. Recent studies include the antiferromagnetic XY model on triangular lattices and fluid-filled fracture propagation. She has collaborated with researchers like M. Cicalese, A. Braides, and C.I. Zeppieri, contributing to high-impact journals like Archive for Rational Mechanics and Analysis and Indiana University Mathematics Journal . Bach has organized workshops such as the 'Calculus of Variations: A New Generation' (2024) and 'Variational Models for Material Failure' (2023). Her research also involves numerical analysis techniques, including finite-difference discretizations and fluctuation estimates in stochastic homogenization.

• Geometric Measure Theory
• Calculus of Variations
• Partial Differential Equations
• +3 more

Francesco Maggi is a Full Professor in the Department of Mathematics at the University of Texas at Austin. His research focuses on geometric measure theory, calculus of variations, and partial differential equations, with an emphasis on isoperimetric problems, capillarity theory, and mean curvature flow. His work explores stability properties of geometric configurations, regularity of minimal surfaces, and applications to physical phenomena like soap films and crystal structures. Key research areas include: geometric variational problems, quantitative isoperimetric inequalities, nonlocal surface tensions, and singular limits in free boundary problems. His contributions have advanced understanding of minimal surfaces, rigidity in geometric inequalities, and energy-driven pattern formation. Recent work addresses topics such as almost-honeycomb structures in low-energy clusters, mesoscale flatness criteria for hypersurfaces, and the approximation of Plateau’s laws via phase-field models. Collaborations span analysis, geometry, and mathematical physics, with applications to materials science and continuum mechanics.

Thomas AlazardView profile

Professor

• Partial Differential Equations
• Fluid Dynamics
• Water Waves
• +3 more

Thomas Alazard is a Professor at École Polytechnique and a Senior researcher at CNRS (Centre National de la Recherche Scientifique). He is affiliated with the Centre de Mathématiques Laurent Schwartz at École polytechnique in Palaiseau, France. His work bridges pure mathematical analysis with applications in fluid dynamics, particularly focusing on partial differential equations that model physical phenomena. Professor Alazard's research spans several interconnected areas of mathematical analysis and its applications: Partial Differential Equations, particularly nonlinear and quasilinear systems Water waves and free boundary problems in fluid dynamics Mathematical analysis of fluid-structure interactions Muskat equation and Hele-Shaw flow models Paradifferential calculus and microlocal analysis techniques Global existence, well-posedness, and asymptotic behavior of solutions His scholarly output reveals a consistent focus on the mathematical foundations of fluid dynamics, with particular emphasis on water waves and free boundary problems. Over the past decade, his research has evolved from foundational work on the Cauchy problem for water waves to more specialized investigations of specific phenomena like the Muskat equation, Hele-Shaw flow, and fractional wave equations. His approach often combines deep analytical techniques with physical insights, creating rigorous mathematical frameworks for understanding complex fluid behaviors. Professor Alazard has made significant contributions to the mathematical community through editorial work and academic service: Editor for Forum Mathematicum In charge of the Sophie Germain master's scholarships and PhD track scholarships through the FMJH (Fondation mathématiques Jacques Hadamard) Author of influential textbooks including "Analysis and Partial Differential Equations" (Springer, 2024) and "Tools and Problems in Partial Differential Equations" (with Claude Zuily) His academic leadership extends to mentoring the next generation of mathematicians through scholarship programs and likely through direct supervision of graduate students, though specific student names are not listed in the available information. His extensive publication record demonstrates sustained research productivity and influence in the mathematical community.