DSWeb, the online portal for SIAM’s dynamical systems activity group, is your source for up-to-date information on all aspects of dynamical systems and its applications.
By Samuel Otto, Sebastian Peitz, and Clarence RowleySIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 885-923, March 2024. Abstract.Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator...
By Katherine Morrison, Anda Degeratu, Vladimir Itskov, and Carina CurtoSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 855-884, March 2024. Abstract.Threshold-linear networks consist of simple units interacting in the presence of a threshold nonlinearity. Competitive...
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 ...
By Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders, Ovidiu Radulescu, Hamid Rahkooy, Matthias Seiß, and Thomas SturmSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 813-854, March 2024. Abstract.For polynomial ODE models, we introduce and discuss the concepts of exact and approximate conservation...
By Christian Kuehn and Jan MölterSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 791-812, March 2024. Abstract.Moment systems arise in a wide range of contexts and applications, e.g., in network modeling...
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By Pedro Abdalla, Afonso S. Bandeira, and Clara InvernizziSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 779-790, March 2024. Abstract. The Kuramoto model is a classical mathematical model in the field of nonlinear dynamical...
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 Haotian Wang, Hujiang Yang, Xiankui Meng, Ye Tian, and Wenjun LiuSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 748-778, March 2024. Abstract. This paper studies the soliton dynamics for the Rabi-coupled Gross–Pitaevskii model in multicomponent Bose–Einstein...
By Fahad Al Saadi, Alan Champneys, and Mike R. JeffreySIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 721-747, March 2024. Abstract.A class of four-component reaction-diffusion systems are studied in one spatial dimension, with one of...
By F. Crespo, D. E. Espejo, and J. C. van der MeerSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 668-695, March 2024. Abstract.We present a geometrical description of the symmetries and reduction of the full gravitational 2-body...
By Shanshan Chen, Jie Liu, and Yixiang WuSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 696-720, March 2024. Abstract.In this paper, we study a two stream species Lotka–Volterra competition patch model with the...
By Shuyang Xue, Yongli Song, and Hao WangSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 641-667, March 2024. Abstract.To model a single-species cognitive movement, we formulate a reaction-diffusion equation with nonlocal spatial memory and...
By Bjørn Fredrik Nielsen and Zdeněk StrakošSIAM 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. LaytonSIAM 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 GneitingSIAM 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 FrankowskaSIAM 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 KnoblochSIAM 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. KarniadakisSIAM 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. WildSIAM 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. WillmsSIAM 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 EditorsSIAM 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 HochbruckSIAM 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 Amanda E. Hampton and James D. MeissSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 616-640, March 2024. Abstract. We previously showed that three-dimensional quadratic diffeomorphisms have anti-integrable (AI) limits that correspond to...
By Alan Veliz-Cuba, Vanessa Newsome-Slade, and Elena S. DimitrovaSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 592-615, March 2024. Abstract.Due to cost concerns, it is optimal to gain insight into the connectivity of biological...
By M. M. Bosschaert and Yu. A. KuznetsovSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 553-591, March 2024. Abstract. In this paper, we will perform the parameter-dependent center manifold reduction near the generic...
By Rhys E. Gilbert and Davide LasagnaSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 505-552, March 2024. Abstract. Traditional sensitivity analysis methods fail for chaotic systems due to the unstable characteristics of...
By Dan Wilson and Kai SunSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 470-504, March 2024. Abstract. We propose a general strategy for reduced order modeling of systems that display highly...
By Megan R. Ebers, Katherine M. Steele, and J. Nathan KutzSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 440-469, March 2024. Abstract.Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to...
By Maikel M. Bosschaert and Yuri A. KuznetsovSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 410-439, March 2024. Abstract.This paper provides for the first time correct third-order homoclinic predictors in [math]-dimensional ODEs near...
By Tomas Caraballo, Zhang Chen, and Lingyu LiSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 358-382, March 2024. Abstract. This paper is mainly concerned with limiting behaviors of invariant measures for neural field...
By Bogdan Batko, Marcio Gameiro, Ying Hung, William Kalies, Konstantin Mischaikow, and Ewerton VieiraSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 383-409, March 2024. Abstract.We introduce a novel procedure that, given sparse data generated from a stationary deterministic nonlinear...
By Olivia Cannon, Ty Bondurant, Malindi Whyte, and Arnd ScheelSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 297-324, March 2024. Abstract. We investigate the effect of bias on the formation and dynamics of opinion clusters...
By Stefan Müller and Georg RegensburgerSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 325-357, March 2024. Abstract. Generalized mass-action systems are power-law dynamical systems arising from chemical reaction networks. Essentially, every...
By Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders, Ovidiu Radulescu, Hamid Rahkooy, Matthias Seiß, and Thomas SturmSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 256-296, March 2024. Abstract. Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails...
By Jacob Stærk-Østergaard, Anders Rahbek, and Susanne DitlevsenSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 236-255, March 2024. Abstract. This paper presents a novel estimator for a nonstandard restriction to both symmetry and...
By Haonan Zhong and Kaifa WangSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 205-235, March 2024. Abstract.In view of the molecular biological mechanism of the cytotoxic T lymphocytes proliferation induced by...
By Ian Stewart and David WoodSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 167-204, March 2024. Abstract.We analyze the dynamics of networks in which a central pattern generator (CPG) transmits signals...
By Álvaro Fernández-Mora, Alex Haro, and J. M. MondeloSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 127-166, March 2024. Abstract. The aim of this paper is to present a method to compute parameterizations of...
By Tamal K. Dey, Michał Lipiński, Marian Mrozek, and Ryan SlechtaSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 81-97, March 2024. Abstract. Connection matrices are a generalization of Morse boundary operators from the classical Morse theory...
By Miquel Barcelona, Alex Haro, and Josep-Maria MondeloSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 98-126, March 2024. Abstract. This paper presents a methodology for the computation of whole sets of heteroclinic connections...
By Yu Tian and Renaud LambiotteSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 50-80, March 2024. Abstract. Two competing types of interactions often play an important part in shaping system behavior,...
By L. I. Allen, T. G. Molnár, Z. Dombóvári, and S. J. HoganSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 1-25, March 2024. Abstract. In this paper, we analyze the celebrated Haken–Kelso–Bunz model, describing the dynamics of bimanual...
By Milen Ivanov and Björn SandstedeSIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 26-49, March 2024. Abstract. Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations...
By Michael W. Fisher and Ian A. HiskensSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3390-3430, December 2023. Abstract. For many engineered systems it is important to assess vulnerability to potential disturbances in...
By Hong Tang and Alan ChampneysSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3320-3357, December 2023. Abstract. A semianalytical method is derived for finding the existence and stability of single-impact periodic...
By B. W. Collins, C. L. Hall, and S. J. HoganSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3358-3389, December 2023. Abstract. The rocking can problem [M. Srinivasan and A. Ruina, Phys. Rev. E, 78 (2008),...
By Urs Frauenfelder, Dayung Koh, and Agustin MorenoSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3284-3319, December 2023. Abstract. The intention of this article is to illustrate the use of methods from symplectic...
By Davide SclosaSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3267-3283, December 2023. Abstract. We prove that the Kuramoto model on a graph can contain infinitely many nonequivalent...
By Electa Cleveland, Angela Zhu, Björn Sandstede, and Alexandria VolkeningSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3233-3266, December 2023. Abstract. Mathematical models come in many forms across biological applications. In the case of complex,...
By Atefe Darabi and Milad SiamiSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3165-3207, December 2023. Abstract. In an epidemic network, lags due to travel time between populations, latent period, and...
By Nadav Cohen, Govind Menon, and Zsolt VerasztoSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3208-3232, December 2023. Abstract.The deep linear network (DLN) is a model for implicit regularization in gradient based optimization...
By Tea Vojkovic, David Quero, Charles Poussot-Vassal, and Pierre VuilleminSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3130-3164, December 2023. Abstract.In this work, we present a novel data-driven method for identifying parametric MIMO generalized state-space...
By Olivier Hénot, Jean-Philippe Lessard, and Jason D. Mireles JamesSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3093-3129, December 2023. Abstract. We present a computational method for studying transverse homoclinic orbits for periodic solutions of...
By Allan M. Avila and Igor MezićSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3059-3092, December 2023. Abstract. The spectrum of the Koopman operator has been shown to encode many important statistical...
By Jason L. Torchinsky and Samuel N. StechmannSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 3025-3058, December 2023. Abstract. Developing a model to capture all aspects of a complex dynamical system is an...
By Cris R. Hasan, Ruaidhrí Mac Cárthaigh, and Sebastian WieczorekSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2991-3024, December 2023. Abstract. We propose a framework to study tipping points in reaction-diffusion equations (RDEs) in one...
By Joshua W. Moore, Trevor C. Dale, and Thomas E. WoolleySIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2945-2990, December 2023. Abstract. Recent advances in high-resolution experimental methods have highlighted the significance of cell signal pathway...
By Aaron Kirtland, Jonah Botvinick-Greenhouse, Marianne DeBrito, Megan Osborne, Casey Johnson, Robert S. Martin, Samuel J. Araki, and Daniel Q. EckhardtSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2927-2944, December 2023. Abstract. To address noise inherent in electronic data acquisition systems and real-world sources, Araki et al....
By Yen Ting Lin, Yifeng Tian, Danny Perez, and Daniel LivescuSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2890-2926, December 2023. Abstract. We propose to adopt statistical regression as the projection operator to enable data-driven learning...
By Brian D. O. Anderson and Mengbin YeSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2856-2889, December 2023. Abstract. This paper considers a deterministic susceptible-infected-susceptible (SIS) networked bivirus epidemic model (termed the bivirus...
By Angxiu NiSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2792-2824, December 2023. Abstract. We develop an algorithm for the equivariant divergence formula of the unstable perturbation of...
By Hayato Chiba, Masahiro Ikeda, and Isao IshikawaSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2825-2855, December 2023. Abstract. The generalized spectral theory is an effective approach to analyze a linear operator on...
By Bernard Bonnard and Jérémy RouotSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2761-2791, December 2023. Abstract. Motivated by the control of complex microbiota for reducing infection by a pathogenic agent,...
By Mauricio Ascencio, Esther Barrabés, Josep M. Cors, and Claudio VidalSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2732-2760, December 2023. Abstract. We study the dynamics of an infinitesimal mass under the gravitational attraction of [math]...
By Jesús Dueñas, Carmen Núñez, and Rafael ObayaSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2649-2692, December 2023. Abstract. A function with finite asymptotic limits gives rise to a transition equation between a...
By Pedro Parra-Rivas, Alan R. Champneys, Fahad Al Saadi, Damia Gomila, and Edgar KnoblochSIAM Journal on Applied Dynamical Systems, Volume 22, Issue 4, Page 2693-2731, December 2023. Abstract. A wide variety of stationary or moving spatially localized structures is present in evolution...
SIAM is excited to announce the 2024 Class of MGB-SIAM Early Career Fellows. These accomplished early career professionals were chosen based on their achievements; active support of diversity, ...
Dr. Caoimhe Rooney, Flight Dynamics Engineer for Astroscale, will deliver the 2024 I. E. Block Community Lecture . She will be presenting at the SIAM Annual Meeting (AN24), which will be held ...
To celebrate Black History Month, SIAM is featuring Dr. Nandi Leslie, a prominent Black applied mathematician from our community. We encourage you to take a moment to read through this spotlight, ...
By Jared Blanchard Water is a requirement for all life as we know it, so the search for extraterrestrial life generally begins there. Luckily, Earth is not the only place in our solar system ...
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.
The prize was established in 2000 in memory of John David Crawford and his contributions to the physics of collisionless plasmas and pattern formation. It is awarded to one individual for recent work on a topic in nonlinear science, based on publication in peer-reviewed journals.
The prize was established in 2000 in memory of Jürgen Moser, a leading mathematician who helped develop influential theories in celestial mechanics and dynamical systems theory. It is awarded to one individual who has made distinguished contributions to nonlinear science.
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 by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.
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 prize was established in 1999 in memory of Julian D. Cole and his work in mathematical applications to aerodynamics. It is awarded for the application of mathematical methods or the mathematical solution of a challenging problem in engineering or the physical or biological sciences.
The Martin Kruskal Lecture, established in 2011, is awarded every two years to one individual for a notable body of mathematics and contributions to the mathematical theory of nonlinear waves and coherent structures, where this research area is interpreted as being in the spirit of the SIAG on Nonlinear Waves and Coherent Structures meetings. The award may be given either for a single notable achievement or for a collection of such achievements.
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 was established in 2015 to honor T. Brooke Benjamin for his seminal contributions to nonlinear waves and coherent structures. It is awarded to a mid-career established researcher for recent work, based on publication in peer-reviewed 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.
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.
This prize was established in 1968 to commemorate Theodore von Kármán and his work in aerodynamics. It is awarded every five years for a notable application of mathematics to mechanics or engineering in the five to ten years preceding the award.
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.
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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 Red Sock Award is given for the best poster presentation by a student or postdoc at the SIAM Conference on Applications of Dynamical Systems. Four awards are made each prize cycle. By tradition, each recipient is awarded a red sock.
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.
Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.
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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.