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.

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.

By Elena S. Dimitrova, Cameron H. Fredrickson, Nicholas A. Rondoni, Brandilyn Stigler, and Alan Veliz-Cuba SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 284-301, June 2024. Abstract. Over the past several decades, algebraic geometry has provided innovative approaches to biological...

SIAM is excited to announce four new researchers who will receive funding through the SIAM Postdoctoral Support Program , the second set of awardees in this newly established program. These early ...

By Matthias Himmelmann and Myfanwy E. Evans SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 259-283, June 2024. Abstract. Framework materials composed of rigid bars and joints and their deformations provide a...

By Alberto Cazzaniga, Antonio Lerario, and Andrea Rosana SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 227-258, June 2024. Abstract.We address the general problem of estimating the probability that a real symmetric tensor...

April is National Volunteer Month, an occasion to celebrate the dedicated individuals who selflessly offer their time and energy to make SIAM (and the world) a better place. We would like to ...

By Jan Draisma SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 225-225, March 2024. Abstract. Shitov has discovered an error in his paper [SIAM J. Appl. Algebra Geom.,...

By Saugata Basu and Nathanael Cox SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 189-224, March 2024. Abstract. We introduce harmonic persistent homology spaces for filtrations of finite simplicial complexes. As...

Are you a student or an early career SIAM member, 35 years old or younger, and have you made a charitable gift to SIAM in 2024? If so, you can now join Young Friends of SIAM!
We ...

March is Women's History Month, and to celebrate, SIAM is featuring women within our community for their contributions to the applied mathematics and computational science field. Read the ...

By Igor Mezić
Modeling of physical processes is the art of creating mathematical expressions that have utility for prediction and control. Historically, such models—like Isaac Newton’s ...

It is with deepest gratitude that we acknowledge the generous donors who supported SIAM in 2023.
Many of SIAM's awards and honors, such as the recently established SIAM Activity Group on ...

By Fabian M. Faulstich and Mathias Oster SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 138-188, March 2024. Abstract.Coupled cluster theory produced arguably the most widely used high-accuracy computational quantum chemistry methods....

By Elizabeth S. Allman, Colby Long, and John A. Rhodes SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 114-137, March 2024. Abstract. A model of genomic sequence evolution on a species tree should include not...

By Bjørn Fredrik Nielsen and Zdeněk Strakoš SIAM Review, Volume 66, Issue 1, Page 125-146, February 2024. We analyze the spectrum of the operator $\Delta^{-1} [\nabla \cdot (K\nabla u)]$ subject to homogeneous Dirichlet or Neumann boundary...

By Elena S. Dimitrova, Cameron H. Fredrickson, Nicholas A. Rondoni, Brandilyn Stigler, and Alan Veliz-Cuba SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 284-301, June 2024. Abstract. Over the past several decades, algebraic geometry has provided innovative approaches to biological...

By Matthias Himmelmann and Myfanwy E. Evans SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 259-283, June 2024. Abstract. Framework materials composed of rigid bars and joints and their deformations provide a...

By Alberto Cazzaniga, Antonio Lerario, and Andrea Rosana SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 2, Page 227-258, June 2024. Abstract.We address the general problem of estimating the probability that a real symmetric tensor...

By Jan Draisma SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 225-225, March 2024. Abstract. Shitov has discovered an error in his paper [SIAM J. Appl. Algebra Geom.,...

By Saugata Basu and Nathanael Cox SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 189-224, March 2024. Abstract. We introduce harmonic persistent homology spaces for filtrations of finite simplicial complexes. As...

By Fabian M. Faulstich and Mathias Oster SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 138-188, March 2024. Abstract.Coupled cluster theory produced arguably the most widely used high-accuracy computational quantum chemistry methods....

By Elizabeth S. Allman, Colby Long, and John A. Rhodes SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 114-137, March 2024. Abstract. A model of genomic sequence evolution on a species tree should include not...

By Bjørn Fredrik Nielsen and Zdeněk Strakoš SIAM Review, Volume 66, Issue 1, Page 125-146, February 2024. We analyze the spectrum of the operator $\Delta^{-1} [\nabla \cdot (K\nabla u)]$ subject to homogeneous Dirichlet or Neumann boundary...

By Anita T. Layton SIAM Review, Volume 66, Issue 1, Page 193-201, February 2024. If you are keen to understand the world around us by developing mathematical or data-driven models, or if you...

By Eva-Maria Walz, Alexander Henzi, Johanna Ziegel, and Tilmann Gneiting SIAM Review, Volume 66, Issue 1, Page 91-122, February 2024. How can we quantify uncertainty if our favorite computational tool---be it a numerical, statistical, or machine learning...

By Helene Frankowska SIAM Review, Volume 66, Issue 1, Page 147-147, February 2024. In this issue the Education section presents two contributions. The first paper, “Resonantly Forced ODEs and Repeated Roots,”...

By Gabriel R. Barrenechea, Volker John, and Petr Knobloch SIAM Review, Volume 66, Issue 1, Page 3-88, February 2024. Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solutions of these equations satisfy,...

By Zongren Zou, Xuhui Meng, Apostolos F. Psaros, and George E. Karniadakis SIAM Review, Volume 66, Issue 1, Page 161-190, February 2024. Uncertainty quantification (UQ) in machine learning is currently drawing increasing research interest, driven by the rapid deployment of deep...

By Stefan M. Wild SIAM Review, Volume 66, Issue 1, Page 89-89, February 2024. As modeling, simulation, and data-driven capabilities continue to advance and be adopted for an ever expanding set of applications...

By Allan R. Willms SIAM Review, Volume 66, Issue 1, Page 149-160, February 2024. In a recent article in this journal, Gouveia and Stone [``Generating Resonant and Repeated Root Solutions to Ordinary Differential...

By The Editors SIAM Review, Volume 66, Issue 1, Page 123-123, February 2024. The SIGEST article in this issue is “A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential...

By Marlis Hochbruck SIAM Review, Volume 66, Issue 1, Page 1-1, February 2024. Numerical methods for partial differential equations can only be successful if their numerical solutions reflect fundamental properties of the...

By Sandra Di Rocco, Lukas Gustafsson, and Luca Schaffler SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 89-113, March 2024. Abstract.We explore the maximum likelihood degree of a homogeneous polynomial [math] on a projective...

By Steve Oudot and Luis Scoccola SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 54-88, March 2024. Abstract. Multigraded Betti numbers are one of the simplest invariants of multiparameter persistence modules....

By Jacob R. Goodman and Leonardo J. Colombo SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 26-53, March 2024. Abstract. This paper studies the reduction by symmetry of a variational obstacle avoidance problem....

By Lorenzo Baldi and Lucas Slot SIAM Journal on Applied Algebra and Geometry, Volume 8, Issue 1, Page 1-25, March 2024. Abstract. The Positivstellensätze of Putinar and Schmüdgen show that any polynomial [math] positive on...

SIAM is excited to announce four new researchers who will receive funding through the SIAM Postdoctoral Support Program , the second set of awardees in this newly established program. These early ...

April is National Volunteer Month, an occasion to celebrate the dedicated individuals who selflessly offer their time and energy to make SIAM (and the world) a better place. We would like to ...

Are you a student or an early career SIAM member, 35 years old or younger, and have you made a charitable gift to SIAM in 2024? If so, you can now join Young Friends of SIAM!
We ...

March is Women's History Month, and to celebrate, SIAM is featuring women within our community for their contributions to the applied mathematics and computational science field. Read the ...

By Igor Mezić
Modeling of physical processes is the art of creating mathematical expressions that have utility for prediction and control. Historically, such models—like Isaac Newton’s ...

It is with deepest gratitude that we acknowledge the generous donors who supported SIAM in 2023.
Many of SIAM's awards and honors, such as the recently established SIAM Activity Group on ...

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. In 2024, the prize was renamed in memory of mathematician Agnes Szanto.

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 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.

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 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.

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.