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.

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.

Society for Industrial and Applied Mathematics (SIAM) is pleased to announce the three recipients of the SIAM Postdoctoral Support Program , the first set of awardees in this newly-established ...

By Mara Belotti , Michael Joswig , Chiara Meroni , Victoria Schleis , and Johannes Schmitt
OSCAR (Open Source Computer Algebra Research) is a new open-source computer algebra system ...

By Moira R. Dillon
Philosophers throughout history have debated the relation between the abstract geometry in our unique human minds and the physical geometry in the world that humans ...

By Lina Sorg
Origami is well known as the traditional Japanese art of paper folding. The resulting three-dimensional creations are thin, lightweight, versatile, and can manifest in a variety ...

By Alexander E. Black, Jesús A. De Loera, Niklas Lütjeharms, and Raman Sanyal SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 3, Page 623-650, September 2023. Abstract. Motivated by the analysis of the performance of the simplex method, we study...

By Jonas Latz SIAM Review, Volume 65, Issue 3, Page 831-865, August 2023. Inverse problems describe the task of blending a mathematical model with observational data---a fundamental task in many scientific and...

By Volker H. Schulz SIAM Review, Volume 65, Issue 3, Page 905-915, August 2023. This collection of reviews encompasses a wide range of topics. We kick off with an insightful featured review by...

By Timothy Ginn and Lynn Schreyer SIAM Review, Volume 65, Issue 3, Page 774-805, August 2023. The beauty and simplicity of compartment modeling makes it a useful approach for simulating dynamics in an amazingly wide...

By J. Galkowski and E. A. Spence SIAM Review, Volume 65, Issue 3, Page 806-828, August 2023. In $d$ dimensions, accurately approximating an arbitrary function oscillating with frequency $\lesssim k$ requires $\sim$$k^d$ degrees of freedom. A...

By Hélène Frankowska SIAM Review, Volume 65, Issue 3, Page 867-867, August 2023. In this issue, the Education section presents two contributions. “The One-Dimensional Version of Peixoto's Structural Stability Theorem: A...

By Hongyu Miao, Alan S. Perelson, and Hulin Wu SIAM Review, Volume 65, Issue 3, Page 732-732, August 2023. This erratum corrects an error in the coefficients of equation (6.23) in the original paper [H. Miao, X. Xia,...

By Domènec Ruiz-Balet and Enrique Zuazua SIAM Review, Volume 65, Issue 3, Page 735-773, August 2023. We analyze neural ordinary differential equations (NODEs) from a control theoretical perspective to address some of the main properties...

By Monica Pragliola, Luca Calatroni, Alessandro Lanza, and Fiorella Sgallari SIAM Review, Volume 65, Issue 3, Page 601-685, August 2023. Over the last 30 years a plethora of variational regularization models for image reconstruction have been proposed and...

By Brigid Murphy and Paul Glendinning SIAM Review, Volume 65, Issue 3, Page 887-902, August 2023. Some simple models of a child swinging on a playground swing are presented. These are analyzed using techniques from...

By Stefan M. Wild SIAM Review, Volume 65, Issue 3, Page 733-733, August 2023. The three articles in this issue's Research Spotlight section highlight the breadth of problems and approaches that have differential...

By The Editors SIAM Review, Volume 65, Issue 3, Page 829-829, August 2023. The SIGEST article in this issue, which comes from the SIAM/ASA Journal on Uncertainty Quantification, is “Bayesian Inverse Problems...

By Marlis Hochbruck SIAM Review, Volume 65, Issue 3, Page 599-599, August 2023. Apart from a short erratum, which concerns the correction of some coefficients in a differential equation in the original...

By Aminur Rahman and D. Blackmore SIAM Review, Volume 65, Issue 3, Page 869-886, August 2023. Peixoto's structural stability and density theorems represent milestones in the modern theory of dynamical systems and their applications. Despite...

By Christian Bick, Elizabeth Gross, Heather A. Harrington, and Michael T. Schaub SIAM Review, Volume 65, Issue 3, Page 686-731, August 2023. Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a...

By Yiyang Deng and Marshall Hampton SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 3, Page 610-622, September 2023. Abstract. We prove that any fixed configuration of [math] masses in space with no...

By Cosmas Kravaris SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 3, Page 585-609, September 2023. Abstract. Suppose that [math] is a graph with vertices [math], edges [math], a free...

By Gabriel Coutinho, Pedro Ferreira Baptista, Chris Godsil, Thomás Jung Spier, and Reinhard Werner SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 3, Page 567-584, September 2023. Abstract. The adjacency matrix of a graph [math] is the Hamiltonian for a continuous-time...

By Lisa Nicklasson SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 3, Page 549-566, September 2023. Abstract. In this paper, we study Bayesian networks from a commutative algebra perspective. We...

By Tobias Fritz SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 505-547, June 2023. Abstract. Real algebra is usually thought of as the study of certain kinds of...

By Paul Breiding, Felix Rydell, Elima Shehu, and Angélica Torres SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 470-504, June 2023. Abstract. We present an algebraic study of line correspondences for pinhole cameras, in contrast...

By Maria Dostert and Katharina Jochemko SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 440-469, June 2023. Abstract. We consider the task of reconstructing polytopes with fixed facet directions from finitely...

By Miguel Ángel Javaloyes, Enrique Pendás-Recondo, and Miguel Sánchez SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 414-439, June 2023. Abstract. A geometric model for the computation of the firefront of a forest wildfire...

By Yair Hayut and David Lehavi SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 311-344, June 2023. Abstract. We introduce invariants for compact [math]-orientable surfaces (with boundary) in [math] up to...

By Goran Malić and Ileana Streinu SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 345-385, June 2023. Abstract. We present an algorithm for computing circuit polynomials in the algebraic rigidity matroid...

By Benjamin Jany SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 2, Page 386-413, June 2023. Abstract. In this paper, we investigate the relation between a [math]-matroid and its associated...

Society for Industrial and Applied Mathematics (SIAM) is pleased to announce the three recipients of the SIAM Postdoctoral Support Program , the first set of awardees in this newly-established ...

By Mara Belotti , Michael Joswig , Chiara Meroni , Victoria Schleis , and Johannes Schmitt
OSCAR (Open Source Computer Algebra Research) is a new open-source computer algebra system ...

By Moira R. Dillon
Philosophers throughout history have debated the relation between the abstract geometry in our unique human minds and the physical geometry in the world that humans ...

By Lina Sorg
Origami is well known as the traditional Japanese art of paper folding. The resulting three-dimensional creations are thin, lightweight, versatile, and can manifest in a variety ...

By Elyssa Sliheet
An important biological application for machine learning (ML) models is the prediction of electrostatic solvation free energy and the binding energy of proteins and ligands. ...

By Mark Levi
The observer in Figure 1 is looking at a pebble at the bottom of a clear lake. As the eye \(E\) moves, so does the pebble’s image \(P ^\prime\). The image \(O ^\prime\) stays on ...

By Matthew R. Francis
Elastic filaments have a tendency to spontaneously tangle, as evidenced by the frequent development of knots in electrical cords, headphones, and garden hoses. However, ...

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.

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.

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 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.

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 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.