James Matthew Douglass DMS Division Of Mathematical Sciences
MPS Direct For Mathematical & Physical Scien
Start Date:
September 1, 2013
End Date:
August 31, 2018 (Estimated)
Awarded Amount to Date:
$1,242,171.00
Investigator(s):
T. Christine Stevens tcs@ams.org (Principal Investigator)
Ellen Maycock (Former Principal Investigator)
Sponsor:
American Mathematical Society
201 CHARLES ST
PROVIDENCE, RI
02904-2294
(401)455-4150
NSF Program(s):
INFRASTRUCTURE PROGRAM
Program Reference Code(s):
7556, 9150
Program Element Code(s):
1260
ABSTRACT
The American Mathematical Society (AMS) has created the Mathematics Research Communities (MRC) as a national program to support and guide young mathematicians as they begin their research careers. In 2014, there are four MRC conferences proposed, all to be held in Snowbird, Utah: Cluster Algebras, June 8 - 14, 2014; Algebraic and Geometric Combinatorics in Applied Mathematics, June 15 - 21, 2014; Mathematics of Quantum Phases of Matter and Quantum Information, June 25 - July 1, 2014; and Network Science, June 25 - July 1, 2014. The topics of the conferences to be held in 2015 and 2016 will be determined later by the MRC Advisory Board, which evaluates proposals submitted by senior mathematicians who wish to be organizers. Each of the MRC conferences will bring together a diverse group of young mathematicians. The organizing committee for each conference is composed of leaders in the field of the conference and includes individuals with previous experience in organizing successful workshops and conferences. The conferences will bring together senior and junior researchers in an ideal environment to establish connections, which often last for many years after the conference itself.
The goal of the Mathematics Research Communities program is to create research cohorts of young mathematicians that will sustain themselves over time, fostering joint research and coherent research programs that will, eventually, reach all areas of mathematics. The Mathematics Research Communities program strives to achieve this goal through the following activities in addition to the summer research conferences: Special Sessions at the annual AMS-MAA Joint Mathematics Meetings, mentoring and a discussion network. It is the formation of research cohorts that sets this program apart from any other (national) professional development programs for mathematicians that currently exist. The creation of three to four new cohorts per year has the potential to lay a foundation for decades of research, and will have an extremely positive effect on mathematics research in the U.S. Most importantly, this program will focus on mathematicians who are beginning their research careers; all program components will help to train and connect the next generation of researchers in, eventually, all research areas of mathematics. This proposal is requesting support for an additional three years of this unique program. Conference topics will include both pure and applied mathematics areas of research.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
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Ali Altug, Sandro Bettin, Iam Petrow, Rishikesh and Ian Whitehead. "A recursion formula for moments of derivatives of random matrix polynomials," Quarterly Journal of Mathematics, 2014.
Chantal David, Derek Garton, Zachary Scherr, Arul Shankar, Ethan Smith and Lola Thompson. "Abelian surfaces over finite fields with prescribed groups," Bulletin of the London Mathematical Society, v.46, 2014, p. 779.
Emily Jennings, Paul Pollack, Lola Thompson. "Variations on a theorem of Davenport," Bulletin of the Australian Mathematical Society, v.89, 2014, p. 437.
Robert J. Lemke Oliver. "Multiplicative functions dictated by Artin symbols," Acta Arithmetica, v.161, 2013, p. 21.
Tarik Aougab and Samuel Taylor. "Small intersection numbers in the curve graph," Bulletin of the London Mathematical Society, 2014.
Vida Dujmovic, Pat Morin and Adam Sheffer. "Crossings in grid drawings," Electronic Journal of Combinatorics, v.21, 2014, p. paper P1..
Vorrapan Chandee, Yoonbok Lee, Sheng-Chi Liu and Maksym Radziwill. "Simple zeros of primitive Dirichlet L-functions and the asymptotic large sieve," Quarterly Journal of Mathematics, v.65, 2014, p. 63.
Xiaojun Wang. "Global existence of smooth solutions to the anisotropic hyperdissipative Navier-Stokes equations," ZAMP, 2014.
Gunawan, Emily and Musiker, Gregg. "{$T$}-path formula and atomic bases for cluster algebras of type {$D$}," SIGMA Symmetry Integrability Geom. Methods Appl., v.11, 2015, p. 060, 46 p.
Gan, Wee Liang and Li, Liping. "Noetherian property of infinite {EI} categories," New York J. Math., v.21, 2015, p. 369--382.
Garver, Alexander and Matherne, Jacob. "; A combinatorial model for exceptional sequences in type A,," DMTCS proc. FPSAC'15, 2015, p. 393.
Chiang, Liang; Cheng, Meng; Cui, Shawn; Hu, Yuting; Jin, Wei; Movassagh, Ramis; Naaijkens, Ramis; Wang, Zhenghan; Young, Amanda. "On Enriching the Levin-Wen model with Symmetry," Journal of Physics A: Mathematical and Theoretical, v.48, 2014.
De Loera, Jesús A.; Margulies, Susan; Pernpeintner, Michael; Riedl, Eric; Rolnick, David; Spencer, Gwen; Stasi, Despina; Swenson, Jon. "Grobner Bases and Nullstellensatze for Graph-Coloring Ideals," Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2015.
Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; and Ren, Qingchun. "Bitangents of tropical plane quartic curves," Math. Z., v.282, 2016, p. 1017--103.
Ballas, Samuel A.. "Finite volume properly convex deformations of the figure-eight knot," Geom. Dedicata, v.178, 2015, p. 49--73.
Bruillard, Paul; Chang, Liang; Hong, Seung-Moon; Plavnik, Julia Yael; Rowell, Eric C.; and Sun, Michael Yuan. "Low-dimensional representations of the three component loop braid group," J. Math. Phys., v.56, 2015, p. 111707, 1.
Cartwright, Dustin; Dudzik, Andrew; Manjunath, Madhusudan; and Yao, Yuan. "Embeddings and immersions of tropical curves," Collect. Math., v.67, 2016, p. 1--19.
Cheung, Man-Wai; Fantini, Lorenzo; Park, Jennifer; and Ulirsch, Martin. "Faithful Realizability of Tropical Curves," International Mathematics Research Notices, v.2016, 2016, p. 4706-4727.
Davis, Diana; Dods, Victor; Traub, Cynthia; and Yang, Jed. "Geodesics on the regular tetrahedron and the cube," Discrete Mathematics, v.340, 2017, p. 3183.
Fiorilli, Daniel; Parks, James; and S{\"o}dergren, Anders. "Low-lying zeros of elliptic curve {$L$}-functions: beyond the ratios conjecture," Math. Proc. Cambridge Philos. Soc., v.160, 2016, p. 315--351.
Hogan, Emilie; O'Rourke, Joseph; Traub, Cindy and Veomett, Ellen. "On coloring box graphs," Discrete Math., v.338, 2015, p. 209--216.
Mann, Kathryn. "Spaces of surface group representations," Invent. Math., v.201, 2015, p. 669--710.
Balakrishnan, J.; Ho, W.; Kaplan, N.; Spicer, S.; Stein, W.; and Weigandt, J.. "Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks," LMS Journal of Computation and Mathematics, v.19, 2016, p. 351.
Brady, Renee; Puelz, Charles; Ramirez, Ivan; Larripa, Kamila and Olufsen, Mette. "A Coupled Model Exploring the Cardiovascular Response to an Acute Inflammation Event," 5th International Conference on Computational and Mathematical Biomedical Engineering -- CMBE2017, 2017, p. 336-339.
Burstein, David; Kenter, Franklin; Kun, Jeremy; and Shi, Feng. "Interception in distance-vector routing networks," Journal of Complex Networks, v.5, 2017, p. 179.
Cannon, Sarah; Fai, Thomas G.; Iwerks, Justin; Leopold, Undine and Schmidt, Christiane. "Combinatorics and complexity of guarding polygons with edge and point 2-transmitters," Computational Geometry, 2017.
Cheung, Man-Wai; Ikenmeyer, Christian and Mkrtchyan, Sevak. "Symmetrizing tableaux and the 5th case of the Foulkes conjecture," Journal of Symbolic Computation, v.80, 2017, p. 833 - 843.
Cheung,Man Wai; Gross, Mark; Muller, Greg; Rupel, Dylan; Stella, Salvatore and Williams, Harold. "The greedy basis equals the theta basis: A rank two haiku," Journal of Combinatorial Theory, Series A, v.145, 2017, p. 150-171.
Curto, Carina; Gross, Elizabeth; Jeffries, Jack; Morrison, Katherine; Omar, Mohamed; Rosen, Zvi; Shiu, Anne and Youngs, Nora. "What Makes a Neural Code Convex?," SIAM Journal on Applied Algebra and Geometry, v.1, 2017, p. 222-238.
Deng, Chao and Liu, Chun. "Largest well-posed spaces for the general diffusion system with nonlocal interactions," Journal of Functional Analysis, v.272, 2017, p. 4030?4062.
Franze, C.S.. "A family of multiple integrals connected with relatives of the Dickman function," Journal of Number Theory, v.179, 2017, p. 33-49.
Gie, Gung-Min; Henderson, Christopher; Iyer, Gautam; Kavlie, Landon; and Whitehead, Jared P.. "Stability of Vortex Solutions to an Extended Navier-Stokes System," Communications in Mathematical Sciences, v.14, 2016, p. 1773.
Horvat, Christopher; Rees Jones, David; Iams, Sarah; Schroeder, David; Flocco, Daniela and Feltham, Daniel. "The frequency and extent of sub-ice phytoplankton blooms in the Arctic Ocean," Science Advances, v.3, 2017, p. e1601191.
Mahdi, Adam; Rutter, Erica M. and Payne, Stephen J.. "Effects of non-physiological blood pressure artefacts on measure of cerebral auto regulation," Med Eng Phys., v.47, 2017, p. 218-221.
McGown, Kevin; Trevino, Enrique and Trudgian, Tim. "Resolving Grosswald's conjecture on GRH," Funct. Approx. Comment. Math., v.55, 2016, p. 215-225.
Amzi Jeffs, R. and Omar, Mohamed and Youngs, Nora. "Homomorphisms preserving neural ideals," J. Pure Appl. Algebra, v.222, 2018, p. 3470--348.
Ashley, C; Burelle, J.P., and Lawton, S.. "Rank 1 character varieties of finitely presented groups," Geometriae Dedicata, v.192, 2018.
Bernstein, Daniel Irving and O'Neill, Chris. "Unimodular hierarchical models and their Graver bases," Journal of Algebraic Statistics, v.8, 2017.
Dymarz, Tullia; Kelly, Michael; Li, Sean and Lukyanenko, Anton. "Separated Nets in Nilpotent Groups," Indiana University Mathematics Journal, v.67, 2018.
Fosdick, Bailey K.; Larremore, Daniel B.; Nishimura, Joel and Ugander, Johan. "Configuring random graph models with fixed degree sequences," SIAM Review, v.60, 2018.
Gan, Wee Liang and Li, Liping. "Koszulity of directed categories in representation stability theory," J. Algebra, v.501, 2018, p. 88--129.
Harris, Pamela E. and Insko, Erik and Omar, Mohamed. "The {$q$}-analog of {K}ostant's partition function and the highest root of the simple {L}ie algebras," Australas. J. Combin., v.71, 2018, p. 68--91.
Im, Mee Seong and Wu, Angela. "Generalized iterated wreath products of cyclic groups and rooted trees correspondence," Advances in the Mathematical Sciences, 2018.
Lienkaemper, Caitlin and Shiu, Anne and Woodstock, Zev. "Obstructions to convexity in neural codes," Adv. in Appl. Math., v.85, 2017, p. 31--59.
Luo, Ye and Manjunath, Madhusudan. "Smoothing of limit linear series of rank one on metrized complexes of algebraic curves," Canadian Journal of Mathematics, 2018.
Rupel, Dylan; Stella, Salvatore; and Williams, Harold. "On Generalized Minors and Quiver Representations," International Mathematics Research Notices, 2018.
Taylor, Dane; Caceres, Rajmonda, and Mucha, Peter. "Super-resolution community detection for layer-aggregated multilayer networks," Physical Review X, v.7, 2017.
Weihs, Luca; Robinson, Bill; Dufresne, Emilie; Kenkel, Jennifer; Kubjas, Kaie; McGee, Reginald II; Nguyen, Nhan; Robeva, Elina; and Drton, Mathias. "Determinantal Generalizations of Instrumental Variables," J. of Causal Inference, v.6, 2018.
Garcia, Rebecca and Garc\'{i}a Puente, Luis David and Kruse, Ryan and Liu, Jessica and Miyata, Dane and Petersen, Ethan and Phillipson, Kaitlyn and Shiu, Anne. "Gr\"{o}bner bases of neural ideals," Internat. J. Algebra Comput., v.28, 2018, p. 553--571.
Mazur, Kristen and Sondjaja, Mutiara and Wright, Matthew and Yarnall, Carolyn. "Approval voting in product societies," Amer. Math. Monthly, v.125, 2018, p. 29--43.
