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.

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.

By Matteo Gallet, Niels Lubbes, Josef Schicho, and Jan Vršek SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 472-506, January 2019. We present algorithms for reconstructing, up to unavoidable projective automorphisms, surfaces with ordinary singularities...

By Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, and Michael E. Stillman SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 507-522, January 2019. Singular value decompositions of matrices are widely used in numerical linear algebra with many...

By Heather A. Harrington, Nina Otter, Hal Schenck, and Ulrike Tillmann SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 439-471, January 2019. A fundamental tool in topological data analysis is persistent homology, which allows extraction of...

By Stefan Müller, Josef Hofbauer, and Georg Regensburger SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 412-438, January 2019. We start from a parametrized system of $d$ generalized polynomial equations (with real exponents)...

By Jie Shen, Jie Xu, and Jiang Yang SIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...

By Arjun S. Ramani, Nicole Eikmeier, and David F. Gleich SIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...

By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart SIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...

By Ben Adcock and Daan Huybrechs SIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...

By T. J. Dodwell, C. Ketelsen, R. Scheichl, and A. L. Teckentrup SIAM Review, Volume 61, Issue 3, Page 509-545, January 2019. In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo...

By Roger Cropp and John Norbury SIAM Review, Volume 61, Issue 3, Page 596-622, January 2019. Obligate mutualist interactions appear to be ubiquitous in nature but cannot be described by the simple models that have...

By The Editors SIAM Review, Volume 61, Issue 3, Page 507-507, January 2019. In this section we present “Multilevel Markov Chain Monte Carlo,” by T. J. Dodwell, C. Ketelsen, R. Scheichl, and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 3, Page 625-640, January 2019. This time, the Book Reviews section has a large portion of books devoted to system dynamics and applications. The...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 3, Page 441-441, January 2019. The issue of accurate function approximation is an important topic in numerical analysis. The first Research Spotlights article,...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 3, Page 401-401, January 2019. Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart are the authors of the Survey and...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 3, Page 547-548, January 2019. This issue of SIAM Review presents two papers in the Education section. The first is “Coin-Flipping, Ball-Dropping, and Grass-Hopping...

By Matteo Gallet, Niels Lubbes, Josef Schicho, and Jan Vršek SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 472-506, January 2019. We present algorithms for reconstructing, up to unavoidable projective automorphisms, surfaces with ordinary singularities...

By Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, and Michael E. Stillman SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 507-522, January 2019. Singular value decompositions of matrices are widely used in numerical linear algebra with many...

By Heather A. Harrington, Nina Otter, Hal Schenck, and Ulrike Tillmann SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 439-471, January 2019. A fundamental tool in topological data analysis is persistent homology, which allows extraction of...

By Stefan Müller, Josef Hofbauer, and Georg Regensburger SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 412-438, January 2019. We start from a parametrized system of $d$ generalized polynomial equations (with real exponents)...

By Jie Shen, Jie Xu, and Jiang Yang SIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...

By Arjun S. Ramani, Nicole Eikmeier, and David F. Gleich SIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...

By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart SIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...

By Ben Adcock and Daan Huybrechs SIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...

By T. J. Dodwell, C. Ketelsen, R. Scheichl, and A. L. Teckentrup SIAM Review, Volume 61, Issue 3, Page 509-545, January 2019. In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo...

By Roger Cropp and John Norbury SIAM Review, Volume 61, Issue 3, Page 596-622, January 2019. Obligate mutualist interactions appear to be ubiquitous in nature but cannot be described by the simple models that have...

By The Editors SIAM Review, Volume 61, Issue 3, Page 507-507, January 2019. In this section we present “Multilevel Markov Chain Monte Carlo,” by T. J. Dodwell, C. Ketelsen, R. Scheichl, and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 3, Page 625-640, January 2019. This time, the Book Reviews section has a large portion of books devoted to system dynamics and applications. The...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 3, Page 441-441, January 2019. The issue of accurate function approximation is an important topic in numerical analysis. The first Research Spotlights article,...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 3, Page 401-401, January 2019. Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart are the authors of the Survey and...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 3, Page 547-548, January 2019. This issue of SIAM Review presents two papers in the Education section. The first is “Coin-Flipping, Ball-Dropping, and Grass-Hopping...

By Frédéric Meunier and Francis Edward Su SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 391-411, January 2019. We propose a general technique related to the polytopal Sperner lemma for proving old...

By Jean B. Lasserre SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 372-389, January 2019. Consider the sublevel set $K:=\{x: g(x)\leq1\}$ of a nonnegative homogeneous polynomial $g$. We show...

By Anthea Monod, Sara Kališnik, Juan Ángel Patin͂o-Galindo, and Lorin Crawford SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 337-371, January 2019. We show that an embedding in Euclidean space based on tropical geometry generates stable...

By Kiumars Kaveh and Christopher Manon SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 292-336, January 2019. Given a finitely generated algebra $A$, it is a fundamental question whether $A$ has...

By Max Budninskiy, Gloria Yin, Leman Feng, Yiying Tong, and Mathieu Desbrun SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 266-291, January 2019. Manifold learning offers nonlinear dimensionality reduction of high-dimensional datasets. In this paper, we bring...

By Dan Wilson and Bard Ermentrout SIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...

By Bernhard Beckermann and Alex Townsend SIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...

By Samuel Awoniyi and Ira Wheaton SIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...

By Guodong Shi, Claudio Altafini, and John S. Baras SIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....

By Richard D. Neidinger SIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...

By Beate Ehrhardt and Patrick J. Wolfe SIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...

By Volker H. Schulz SIAM Review, Volume 61, Issue 2, Page 385-400, January 2019. Sometimes, people confuse artificial neural networks (ANNs) with real biological brains, at least metaphorically. The section starts with a...

By The Editors SIAM Review, Volume 61, Issue 2, Page 317-317, January 2019. The SIGEST article in this issue is “Bounds on the Singular Values of Matrices with Displacement Structure,” by Bernhard...

By Giacomo Micheli SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 256-265, January 2019. In this paper we characterize the polynomials $f$ over a finite field $F$ satisfying...

By Matthias Christandl, Fulvio Gesmundo, and Asger Kjærulff Jensen SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 231-255, January 2019. It has recently been shown that the tensor rank can be strictly submultiplicative under...

By Amir Ali Ahmadi and Anirudha Majumdar SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 193-230, January 2019. In recent years, optimization theory has been greatly impacted by the advent of sum...

By Alessandro Chiesa, Lynn Chua, and Matthew Weidner SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 175-192, January 2019. A cycle of elliptic curves is a list of elliptic curves over finite fields...

By Shiva Shankar SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 172-174, January 2019. There is an error in Theorem 3.1 of [S. Shankar and P. Rocha, SIAM...

By Jurij Volčič SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 152-171, January 2019. A noncommutative polynomial is stable if it is nonsingular on all tuples of matrices...

By Gennadiy Averkov SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 128-151, January 2019. The abbreviations LMI and SOS stand for “linear matrix inequality" and “sum of squares,"...

By Elizabeth S. Allman, Colby Long, and John A. Rhodes SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 107-127, January 2019. The log-det distance between two aligned DNA sequences was introduced as a tool...

By Gheorghe Craciun SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 87-106, January 2019. Some of the most common mathematical models in biology, chemistry, physics, and engineering are...

By Darij Grinberg and Peter J. Olver SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 67-86, January 2019. The primary purpose of this note is to prove two recent conjectures concerning the...

By Aaron Chen, Florian Frick, and Anne Shiu SIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 44-66, January 2019. Given an intersection pattern of arbitrary sets in Euclidean space, is there an arrangement...

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 Luis Bettencourt , Christa Brelsford , and Taylor Martin
Anthropologists, archaeologists, economists, sociologists, geographers, historians, and many other scholars have long been ...

By Rida T. Farouki and Kai Hormann
Geometrical models play a critical role in diverse fields such as engineering design and analysis, manufacturing automation, computer graphics and ...

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 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 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 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 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 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.

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.

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.

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 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.