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 Geometric Design (GD19)

June 17 - 19, 2019 Vancouver, Canada More Information

SIAM Conference on Applied Algebraic Geometry (AG19)

July 9 - 13, 2019 Bern, Switzerland More Information

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 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.

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.

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 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 ...

By Álvaro Cartea, Sebastian Jaimungal, and Jason Ricci SIAM Review, Volume 60, Issue 3, Page 673-703, January 2018. We develop a high frequency (HF) trading strategy where the HF trader uses her superior speed to process information...

By Florian Feppon and Pierre F. J. Lermusiaux SIAM Review, Volume 60, Issue 3, Page 595-625, January 2018. Quantifying the uncertainty of Lagrangian motion can be performed by solving a large number of ordinary differential equations with...

By Theodore Kolokolnikov and Juncheng Wei SIAM Review, Volume 60, Issue 3, Page 626-645, January 2018. We develop novel mathematical techniques to study spot patterns in reaction-diffusion systems with space-dependent feed rate. The techniques are...

By Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, and Hans De Sterck SIAM Review, Volume 60, Issue 3, Page 707-754, January 2018. This report presents challenges, opportunities, and directions for computational science and engineering (CSE) research and education for the next...

By Claude Brezinski, Michela Redivo-Zaglia, and Yousef Saad SIAM Review, Volume 60, Issue 3, Page 646-669, January 2018. This paper presents a general framework for Shanks transformations of sequences of elements in a ...

By Andrew J. Majda and Di Qi SIAM Review, Volume 60, Issue 3, Page 491-549, January 2018. Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among...

By Benjamin Peherstorfer, Karen Willcox, and Max Gunzburger SIAM Review, Volume 60, Issue 3, Page 550-591, January 2018. In many situations across computational science and engineering, multiple computational models are available that describe a system of interest....

By Volker Schulz SIAM Review, Volume 60, Issue 3, Page 757-776, January 2018. From SPD matrices to SQD matrices seems to be just a minor step in letters. However, in the field...

By The Editors SIAM Review, Volume 60, Issue 3, Page 671-671, January 2018. The SIGEST article in this issue is “Algorithmic Trading, Stochastic Control, and Mutually Exciting Processes,” by Álvaro Cartea,...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 3, Page 489-489, January 2018. The two Survey and Review papers in this issue share some common traits. Both of them will help nonspecialists...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 3, Page 593-593, January 2018. The first paper, “Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport,” by Florian Feppon and Pierre...

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 Álvaro Cartea, Sebastian Jaimungal, and Jason Ricci SIAM Review, Volume 60, Issue 3, Page 673-703, January 2018. We develop a high frequency (HF) trading strategy where the HF trader uses her superior speed to process information...

By Florian Feppon and Pierre F. J. Lermusiaux SIAM Review, Volume 60, Issue 3, Page 595-625, January 2018. Quantifying the uncertainty of Lagrangian motion can be performed by solving a large number of ordinary differential equations with...

By Theodore Kolokolnikov and Juncheng Wei SIAM Review, Volume 60, Issue 3, Page 626-645, January 2018. We develop novel mathematical techniques to study spot patterns in reaction-diffusion systems with space-dependent feed rate. The techniques are...

By Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, and Hans De Sterck SIAM Review, Volume 60, Issue 3, Page 707-754, January 2018. This report presents challenges, opportunities, and directions for computational science and engineering (CSE) research and education for the next...

By Claude Brezinski, Michela Redivo-Zaglia, and Yousef Saad SIAM Review, Volume 60, Issue 3, Page 646-669, January 2018. This paper presents a general framework for Shanks transformations of sequences of elements in a ...

By Andrew J. Majda and Di Qi SIAM Review, Volume 60, Issue 3, Page 491-549, January 2018. Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among...

By Benjamin Peherstorfer, Karen Willcox, and Max Gunzburger SIAM Review, Volume 60, Issue 3, Page 550-591, January 2018. In many situations across computational science and engineering, multiple computational models are available that describe a system of interest....

By Volker Schulz SIAM Review, Volume 60, Issue 3, Page 757-776, January 2018. From SPD matrices to SQD matrices seems to be just a minor step in letters. However, in the field...

By The Editors SIAM Review, Volume 60, Issue 3, Page 671-671, January 2018. The SIGEST article in this issue is “Algorithmic Trading, Stochastic Control, and Mutually Exciting Processes,” by Álvaro Cartea,...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 3, Page 489-489, January 2018. The two Survey and Review papers in this issue share some common traits. Both of them will help nonspecialists...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 3, Page 593-593, January 2018. The first paper, “Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport,” by Florian Feppon and Pierre...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 3, Page 705-706, January 2018. This issue of SIAM Review presents “Research and Education in Computational Science and Engineering” in the Education section. This...

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 D. Calvetti, F. Pitolli, E. Somersalo, and B. Vantaggi SIAM Review, Volume 60, Issue 2, Page 429-461, January 2018. The solution of linear inverse problems when the unknown parameters outnumber data requires addressing the problem of a nontrivial...

By Bailey K. Fosdick, Daniel B. Larremore, Joel Nishimura, and Johan Ugander SIAM Review, Volume 60, Issue 2, Page 315-355, January 2018. Random graph null models have found widespread application in diverse research communities analyzing network datasets, including social, information, and...

By Zhihan Gao SIAM Review, Volume 60, Issue 2, Page 409-426, January 2018. We study the metric $s$--$t$ path traveling salesman problem (TSP). An, Kleinberg, and Shmoys [Proceedings of the 44th ACM...

By Léon Bottou, Frank E. Curtis, and Jorge Nocedal SIAM Review, Volume 60, Issue 2, Page 223-311, January 2018. This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the...

By Sanghyeon Yu and Habib Ammari SIAM Review, Volume 60, Issue 2, Page 356-385, January 2018. When metallic (or plasmonic) nanospheres are nearly touching, strong concentration of light can occur in the narrow gap regions....

By Nawaf Bou-Rabee SIAM Review, Volume 60, Issue 2, Page 386-406, January 2018. The numerical solution of stochastic partial differential equations (SPDEs) presents challenges not encountered in the simulation of PDEs or...

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...

SIAM Review, Volume 60, Issue 2, Page 407-407, January 2018. The SIGEST article in this issue, On the Metric $s$-$t$ Path Traveling Salesman Problem, by Zhihan Gao, first appeared...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 2, Page 221-221, January 2018. Recent spectacular success stories in machine learning are underpinned by applied mathematics techniques, and therefore many SIAM Review readers...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 2, Page 427-428, January 2018. The Education section of this issue presents the article “Bayes Meets Krylov: Statistically Inspired Preconditioners for CGLS,” by D....

By Volker Schulz SIAM Review, Volume 60, Issue 2, Page 465-487, January 2018. The book reviews collected in this issue were still assembled by my predecessor, David Watkins, to whom I'm indebted...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 2, Page 313-313, January 2018. This issue of SIAM Review features three articles in the Research Spotlights section. All three articles use novel...

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 Misha E. Kilmer SIAM Review, Volume 60, Issue 1, Page 93-93, January 2018. The first of the two papers appearing in this issue's Research Spotlights section is “A Gillespie Algorithm for Non-Markovian...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 1, Page 179-180, January 2018. The Education section of this issue focuses on fair games. The article, “Making the Rules of Sports Fairer,” by...

SIAM Review, Volume 60, Issue 1, Page 137-137, January 2018. The SIGEST article in this issue, “Second-Order Necessary Conditions for Stochastic Optimal Control Problems,” by Haisen Zhang and Xu...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 1, Page 1-1, January 2018. The first Survey and Review paper in this issue, “Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Methods,”...

By Volker H. Schulz SIAM Review, Volume 60, Issue 1, Page 205-220, January 2018. For decades, the Book Reviews section of SIAM Review has been publishing personal assessments and recommendations on books which...

By Naoki Masuda and Luis E. C. Rocha SIAM Review, Volume 60, Issue 1, Page 95-115, January 2018. The Gillespie algorithm provides statistically exact methods for simulating stochastic dynamics modeled as interacting sequences of discrete events including...

By Richard A. Tapia, J. E. Dennis, and Jan P. Schäfermeyer SIAM Review, Volume 60, Issue 1, Page 3-55, January 2018. The $l_2$ normalized inverse, shifted inverse, and Rayleigh quotient iterations are classic algorithms for approximating an eigenvector of...

By Steven J. Brams and Mehmet S. Ismail SIAM Review, Volume 60, Issue 1, Page 181-202, January 2018. The rules of many sports are not fair---they do not ensure that equally skilled competitors have the same probability...

By Andreas Bartel and Michael Günther SIAM Review, Volume 60, Issue 1, Page 56-91, January 2018. Modeling with partial differential-algebraic equations is a natural and universal approach valid for various applications with coupled subsystems. This...

By Haisen Zhang and Xu Zhang SIAM Review, Volume 60, Issue 1, Page 139-178, January 2018. The main purpose of this paper is to present some of our recent results about the second-order necessary conditions...

By Mike R. Jeffrey SIAM Review, Volume 60, Issue 1, Page 116-136, January 2018. Transitions between steady dynamical regimes in diverse applications are often modeled using discontinuities, but doing so introduces problems of...

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 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 ...

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 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.

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 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 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.

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.

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.

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.

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.

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 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 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.

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.

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

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