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.

Upcoming Conferences

SIAM Conference on Computational Science and Engineering (CSE19)

February 25 - March 1, 2019 Spokane, Washington, USA More Information

SIAM International Conference on Data Mining (SDM19)

May 2 - 4, 2019 Calgary, Alberta, Canada More Information

SIAM Conference on Applications of Dynamical Systems (DS19)

May 19 - 23, 2019 Snowbird, Utah, U.S. More Information

SIAM Workshop on Network Science (NS19)

May 22 - 23, 2019 Snowbird, Utah, U.S. More Information

SIAM Conference on Financial Mathematics & Engineering (FM19)

June 4 - 7, 2019 Toronto, Ontario, Canada More Information

Collaborative Workshop for Women in Mathematical Biology (WIMB 2019)

June 17 - 21, 2019 Los Angeles, California, U.S. More Information

SIAM Conference on Computational Geometric Design (GD19)

June 17 - 19, 2019 Vancouver, British Columbia, Canada More Information

Gene Golub SIAM Summer School 2019: High Performance Data Analytics

June 17 - 28, 2019 Aussois, France More Information

SIAM Conference on Control and Its Applications (CT19)

June 19 - 21, 2019 Chengdu, China More Information

SIAM Conference on Applied Algebraic Geometry (AG19)

July 9 - 13, 2019 Bern, Switzerland More Information

9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)

July 15 - 19, 2019 Valencia, Spain More Information

SIAM Conference on Analysis of Partial Differential Equations (PD19)

December 11 - 14, 2019 La Quinta, California, U.S. More Information

ACM-SIAM Symposium on Discrete Algorithms (SODA20)

January 5 - 8, 2020 Salt Lake City, Utah, U.S. More Information

Algorithm Engineering and Experiments (ALENEX20)

January 5 - 6, 2020 Salt Lake City, Utah, U.S. More Information

SIAM Conference on Optimization (OP20)

May 26 - 29, 2020 The Hong Kong Polytechnic University More Information

SIAM Conference on Imaging Science (IS20)

July 6 - 9, 2020 Toronto, Ontario, Canada More Information

SIAM Conference on Applications of Dynamical Systems (DS21)

May 23 - 27, 2021 Portland, Oregon, U.S. More Information

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.

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Patrizio Neff, Andreas Fischle, and Lev Borisov SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 31-43, January 2019. We determine the optimal orthogonal matrices $R \in {{O}}(n)$ which minimize the symmetrized...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Daniele Agostini and Carlos Améndola SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 1-30, January 2019. We study a discrete analogue of the classical multivariate Gaussian distribution. It is supported...

By Frédéric Bihan, Francisco Santos, and Pierre-Jean Spaenlehauer SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 620-645, January 2018. We investigate a version of Viro's method for constructing polynomial systems with many positive...

By Jithin D. George
The algorithm behind the fast Fourier transform (FFT) has a simple yet beautiful geometric interpretation that is frequently lost in translation in a classroom. Here I ...

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Patrizio Neff, Andreas Fischle, and Lev Borisov SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 31-43, January 2019. We determine the optimal orthogonal matrices $R \in {{O}}(n)$ which minimize the symmetrized...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Daniele Agostini and Carlos Améndola SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 1-30, January 2019. We study a discrete analogue of the classical multivariate Gaussian distribution. It is supported...

By Frédéric Bihan, Francisco Santos, and Pierre-Jean Spaenlehauer SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 620-645, January 2018. We investigate a version of Viro's method for constructing polynomial systems with many positive...

By Michał Adamaszek, Henry Adams, and Florian Frick SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 597-619, January 2018. Given a sample of points $X$ in a metric space $M$ and a scale...

By Harm Derksen SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 535-596, January 2018. We study the Pareto frontier for two competing norms $\|\cdot\|_X$ \nomenclature[X]$\lVert\cdot\rVert_X,\lVert\cdot\rVert_Y$norms and $\|\cdot\|_Y$...

By Tianran Chen, Robert Davis, and Dhagash Mehta SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 489-507, January 2018. Synchronization in networks of interconnected oscillators is a fascinating phenomenon that appears naturally in...

By Ippei Obayashi SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 4, Page 508-534, January 2018. The present paper shows a mathematical formalization of---as well as algorithms and software for...

By Nadav Dym SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 3, Page 462-488, January 2018. Graph matching, or quadratic assignment, is the problem of labeling the vertices of two...

By Fidel Barrera-Cruz, Christine Heitsch, and Svetlana Poznanović SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 3, Page 444-461, January 2018. The prevalent method for RNA secondary structure prediction for a single sequence is free...

By Yaroslav Shitov SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 3, Page 428-443, January 2018. The rank and symmetric rank of a symmetric tensor may differ.

By Shiva Shankar and Paula Rocha SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 3, Page 410-427, January 2018. This paper calculates the degree of autonomy of a generic autonomous $n-D$ system defined...

By Matthew Fickus, John Jasper, and Dustin G. Mixon SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 3, Page 377-409, January 2018. This paper applies techniques from algebraic and differential geometry to determine how to best...

By Nina Miolane, Susan Holmes, and Xavier Pennec SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 348-375, January 2018. In most neuroimaging studies, one builds a brain template that serves as a reference...

By Khazhgali Kozhasov SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 339-347, January 2018. We construct generic real symmetric tensors with only real eigenvectors or, equivalently, real homogeneous...

By Johannes Blömer and Kathlén Kohn SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 314-338, January 2018. We study the geometry and complexity of Voronoi cells of lattices with respect to...

By Thomas M. Fiore and Thomas Noll SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 281-313, January 2018. Motivated by analytical methods in mathematical music theory, we determine the structure of the...

By Frieder Ladisch and Achill Schürmann SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 259-280, January 2018. Let $G$ be a finite permutation group acting on $\mathbb{R}^d$ by permuting coordinates. A...

By John Little and Hal Schenck SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 242-258, January 2018. Extending work of M. Zarzar, we evaluate the potential of Goppa-type evaluation codes constructed...

By Onur Özyeşil, Nir Sharon, and Amit Singer SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 2, Page 207-241, January 2018. Group contraction is an algebraic map that relates two classes of Lie groups by...

By Jonathan D. Hauenstein, Samantha N. Sherman, and Charles W. Wampler SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 179-205, January 2018. Stewart--Gough platforms are mechanisms which consist of two rigid objects, a base and a...

By Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 140-178, January 2018. We prove that primal-dual log-barrier interior point methods are not strongly polynomial, by constructing...

By Hamza Fawzi and Mohab Safey El Din SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 126-139, January 2018. The positive semidefinite rank of a convex body $C$ is the size of its...

By Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, and Josef Schicho SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 94-125, January 2018. Laman graphs model planar frameworks that are rigid for a general choice of distances...

By Elizabeth Gross and Colby Long SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 72-93, January 2018. Phylogenetic networks are becoming increasingly popular in phylogenetics since they have the ability to...

By Owen Coss, Jonathan D. Hauenstein, Hoon Hong, and Daniel K. Molzahn SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 45-71, January 2018. The Kuramoto model describes synchronization behavior among coupled oscillators and enjoys successful application in...

By Claus Scheiderer SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 1-25, January 2018. We show that the closed convex hull of any one-dimensional semialgebraic subset of $\mathbb{R}^n$...

By Claus Scheiderer SIAM Journal on Applied Algebra and Geometry, Volume 2, Issue 1, Page 26-44, January 2018. We show that there are many (compact) convex semialgebraic sets in euclidean space that...

By Jithin D. George
The algorithm behind the fast Fourier transform (FFT) has a simple yet beautiful geometric interpretation that is frequently lost in translation in a classroom. Here I ...

By Mark Levi
The concurrency of altitudes in a triangle (at the point called the orthocenter ) has been known since the times of Euclid, if not before. A couple of millenia later, Leonhard ...

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.

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 lecture is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

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 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.

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.

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 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.

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.

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.

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.

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.

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.

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.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two 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 Prizes bring attention to papers published in SIAM journals. Three awards are made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

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.

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!

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.