This research area covers applied geometry, algebraic geometry, and geometric design covering mathematics and computing in related areas of diverse applications in areas like biology, coding theory, complexity theory, computer graphics, computer vision, cryptography, game theory and economics, and robotics. Applied geometry also includes mathematical and computational issues that arise in generating and processing geometric information for various engineering applications.

By Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels, and Simon Telen SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 77-103, March 2023. Abstract. We explore the positive geometry of statistical models in the setting of toric...

By Tom Needham and Thomas Weighill SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 104-132, March 2023. Abstract. We introduce a method for jointly registering ensembles of partitioned datasets in a...

By Stefan Forcey SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 49-76, March 2023. Abstract. Two well-known generalizations of phylogenetic trees are split systems and phylogenetic networks. Distances...

By Martin Helmer and Vidit Nanda SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 29-48, March 2023. Abstract. We describe a framework for estimating Hilbert–Samuel multiplicities [math] for pairs of projective...

Last edited: 3/23/23
March is Women's History Month! SIAM recognizes and honors women in the applied mathematics and computational science field for their contributions and achievements. This ...

By Guo-Wei Wei
“Can one hear the shape of a drum?” Mathematician Mark Kac posed this famous question in 1966, and it has intrigued researchers ever since [4]. If you hear the sound of a ...

This is the conference of the SIAM Activity Group on Geometric Design. It is being held as part of the International Geometry Summit (IGS23) in Genoa, Italy.
The 2023 SIAM Conference on ...

By Jason M. Altschuler and Pablo A. Parrilo SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 1-28, March 2023. Abstract. Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications....

By Volker H. Schulz SIAM Review, Volume 65, Issue 1, Page 319-328, February 2023. Our section starts with Rob Kirby's featured review on the book Numerical Methods for Elliptic and Parabolic Partial Differential...

By Daniele Avitabile, Joshua L. Davis, and Kyle Wedgwood SIAM Review, Volume 65, Issue 1, Page 147-182, February 2023. Bump attractors are wandering localized patterns observed in in vivo experiments of spatially extended neurobiological networks. They are important...

By Eunice Y. S. Chan and Robert M. Corless SIAM Review, Volume 65, Issue 1, Page 261-290, February 2023. The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how...

By Hélène Frankowska SIAM Review, Volume 65, Issue 1, Page 259-260, February 2023. In this issue the Education section presents two contributions. The first paper is “Chaos Game Representation” (CGR), written...

By Kimon Fountoulakis, Meng Liu, David F. Gleich, and Michael W. Mahoney SIAM Review, Volume 65, Issue 1, Page 59-143, February 2023. Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis,...

By Martin Donati SIAM Review, Volume 65, Issue 1, Page 227-257, February 2023. In this paper, we prove that in bounded planar domains with $C^{2,\alpha}$ boundary, for almost every initial condition in...

By Amir Ali Ahmadi and Bachir El Khadir SIAM Review, Volume 65, Issue 1, Page 183-223, February 2023. We present a mathematical and computational framework for learning a dynamical system from noisy observations of a few...

By Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels, and Simon Telen SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 77-103, March 2023. Abstract. We explore the positive geometry of statistical models in the setting of toric...

By Tom Needham and Thomas Weighill SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 104-132, March 2023. Abstract. We introduce a method for jointly registering ensembles of partitioned datasets in a...

By Stefan Forcey SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 49-76, March 2023. Abstract. Two well-known generalizations of phylogenetic trees are split systems and phylogenetic networks. Distances...

By Martin Helmer and Vidit Nanda SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 29-48, March 2023. Abstract. We describe a framework for estimating Hilbert–Samuel multiplicities [math] for pairs of projective...

By Jason M. Altschuler and Pablo A. Parrilo SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, Page 1-28, March 2023. Abstract. Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications....

By Volker H. Schulz SIAM Review, Volume 65, Issue 1, Page 319-328, February 2023. Our section starts with Rob Kirby's featured review on the book Numerical Methods for Elliptic and Parabolic Partial Differential...

By Daniele Avitabile, Joshua L. Davis, and Kyle Wedgwood SIAM Review, Volume 65, Issue 1, Page 147-182, February 2023. Bump attractors are wandering localized patterns observed in in vivo experiments of spatially extended neurobiological networks. They are important...

By Eunice Y. S. Chan and Robert M. Corless SIAM Review, Volume 65, Issue 1, Page 261-290, February 2023. The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how...

By Hélène Frankowska SIAM Review, Volume 65, Issue 1, Page 259-260, February 2023. In this issue the Education section presents two contributions. The first paper is “Chaos Game Representation” (CGR), written...

By Kimon Fountoulakis, Meng Liu, David F. Gleich, and Michael W. Mahoney SIAM Review, Volume 65, Issue 1, Page 59-143, February 2023. Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis,...

By Martin Donati SIAM Review, Volume 65, Issue 1, Page 227-257, February 2023. In this paper, we prove that in bounded planar domains with $C^{2,\alpha}$ boundary, for almost every initial condition in...

By Amir Ali Ahmadi and Bachir El Khadir SIAM Review, Volume 65, Issue 1, Page 183-223, February 2023. We present a mathematical and computational framework for learning a dynamical system from noisy observations of a few...

By F. Llorente, L. Martino, D. Delgado, and J. López-Santiago SIAM Review, Volume 65, Issue 1, Page 3-58, February 2023. This is an up-to-date introduction to, and overview of, marginal likelihood computation for model selection and hypothesis testing. Computing...

By Stefan M. Wild SIAM Review, Volume 65, Issue 1, Page 145-145, February 2023. What surprising patterns do fluid dynamics and neurobiological networks have in common? In this issue's first Research Spotlights article,...

By The Editors SIAM Review, Volume 65, Issue 1, Page 225-225, February 2023. The SIGEST article in this issue, “Improbability of Collisions of Point-Vortices in Bounded Planar Domains,” by Martin Donati, is...

By William A. Clark, Mario W. Gomes, Arnaldo Rodriguez-Gonzalez, Leo C. Stein, and Steven H. Strogatz SIAM Review, Volume 65, Issue 1, Page 291-315, February 2023. We revisit a textbook example of a singularly perturbed nonlinear boundary-value problem. Unexpectedly, it shows a wealth of phenomena...

By Marlis Hochbruck SIAM Review, Volume 65, Issue 1, Page 1-1, February 2023. Marginal likelihood and Bayes factors are key components of the Bayesian analysis used in hypothesis testing and model selection....

By Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, and Margaret H. Regan SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 740-772, December 2022. Abstract. We consider Galois/monodromy groups arising in computer vision applications, with a view toward...

By Michael Joswig, Max Klimm, and Sylvain Spitz SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 711-739, December 2022. Abstract. We study a family of convex polytopes, called SIM-bodies, which were introduced by...

By Henry Adams and Baris Coskunuzer SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 685-710, December 2022. Abstract. We introduce several geometric notions, including the width of a homology class, to...

By Mareike Dressler and Riley Murray SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 650-684, December 2022. Abstract. Signomials are obtained by generalizing polynomials to allow for arbitrary real exponents. This...

By Guido Montúfar, Yue Ren, and Leon Zhang SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 618-649, December 2022. Abstract. We present results on the number of linear regions of the functions that...

By Dmitrii Koshelev SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 600-617, December 2022. Abstract. This article provides new constant-time encodings [math] to ordinary elliptic [math]-curves [math] of...

By Joscha Diehl, Kurusch Ebrahimi-Fard, and Nikolas Tapia SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 563-599, December 2022. Abstract. Aiming for a systematic feature extraction from time series, we introduce the iterated-sums...

By Calin Chindris and Jasim Ismaeel SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 536-562, December 2022. Abstract. In this paper, we view matrix frames as representations of quivers and study...

By Yaroslav N. Shitov SIAM Journal on Applied Algebra and Geometry, Volume 6, Issue 4, Page 531-535, December 2022. Abstract. A tensor [math] restricts to [math] if there exist linear operators [math] so...

Last edited: 3/23/23
March is Women's History Month! SIAM recognizes and honors women in the applied mathematics and computational science field for their contributions and achievements. This ...

By Guo-Wei Wei
“Can one hear the shape of a drum?” Mathematician Mark Kac posed this famous question in 1966, and it has intrigued researchers ever since [4]. If you hear the sound of a ...

This is the conference of the SIAM Activity Group on Geometric Design. It is being held as part of the International Geometry Summit (IGS23) in Genoa, Italy.
The 2023 SIAM Conference on ...

It is with deepest gratitude that we acknowledge the generous donors who supported SIAM in 2022.
Our financial supporters make possible SIAM’s awards and honors, foster our ability to help ...

SIAM’s conference on computational geometric design is motivated by the overlapping industrial and academic interest in geometry. Encouragement of industrial, government and academic collaboration ...

Last edited: February 10, 2023
In honor of Black History Month, SIAM has spotlighted influential Black mathematicians from our community. We encourage you to take a moment to read through ...

Society for Industrial and Applied Mathematics (SIAM) is pleased to announce the 2023 Class of MGB-SIAM Early Career Fellows. These distinguished early career professionals were selected based on ...

The Livermore Lab Foundation (LLF) is dedicated to advancing scientific knowledge and inspiring the next generation of scientists and engineers at Lawrence Livermore National Laboratory (LLNL), ...

Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.

The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

Established in 1967, the prize honors Norbert Wiener, a founder of the field of cybernetics. The prize is awarded every three years by SIAM and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.

Established in 2016, the prize is awarded to an individual in their early career for research contributions to the field of algebraic geometry and its applications.

Established in 2018, the prize is awarded to an early career researcher for recent research contributions in the field of geometric design and processing.

The George Pólya Prize in Mathematics was established in 1992 as an extension into other fields of the George Pólya Prize in Combinatorics. It is awarded in areas of interest to George Pólya not covered by SIAM’s other Pólya Prizes.

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

This group is concerned with the mathematical and computational issues that arise in generating and processing geometric information for various engineering applications, such as mechanical design, process planning, and manufacturing. The scope of the group's activities encompasses a wide spectrum of scientific, technological, and other skills, ranging from rigorous mathematics to the subjective aesthetics of shape.

The purpose of this activity group is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology.

SIAM Journal on Applied Algebra and Geometry (SIAGA) journal publishes research articles of exceptional quality on the development of algebraic, geometric, and topological methods with a strong connection to applications. Mathematical areas covered include algebraic geometry, algebraic and topological combinatorics, algebraic topology, commutative and noncommutative algebra, convex and discrete geometry, differential geometry, multilinear and tensor algebra, number theory, representation theory, symbolic and numerical computation.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.

Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.