3. Postdoctoral Program - MSRI

More documents

Recommendations

Info

POSTDOCTORAL FELLOW REPORT December 2009 -------- Original Message -------- Subject: end of year review Date: Mon, 14 Dec 2009 16:42:59 -0800 From: Christopher Hillar To: Robert Bryant , Hélène Barcelo Dear Helene and Robert, I wanted to take the opportunity to let you know what has been happening for me academically in the past year. First of all, I would like to say that I cannot thank both you and the MSRI enough for all of the wonderful support in the past year. The chance to work at MSRI was life-changing and especially important given my research aspirations in mathematical neuroscience. It is challenging to work at the intersection of these two fields, and I attribute much of my ongoing success to the opportunities, encouragement, and support that MSRI has offered me. My work this year falls into two sections: (1) Pure Mathematics and (2) Theoretical Neuroscience. As I am transitioning fields, it is important to honor my obligations to collaborators (both old and new), so I have tried to be as diligent as possible in pushing out old projects and folding in new ones. By the way, the "Compression Between Agents" paper that I alluded to in my MSRI postdoc talk last week is [7] below. It was already accepted to the ICASSP 2010 conference, and we have intentions to push out a high-profile science journal article after the break. Also, I gave an invited talk on this work at Agent-Based Complex Systems IPAM (Institute for Pure and Applied Mathematics) October 12 - 14, 2009 https://www.ipam.ucla.edu/schedule.aspx?pc=onr2009 Brief Summary of Work (references below): With the team of Sottile I have finished up a large-scale computational project on the Secant Conjecture in Schubert calculus. With Sullivant we proved the independent set conjecture in algebraic statistics using some infinite dimensional Groebner basis tools I had developed with Aschenbrenner. In "Most tensor problems are NP-Hard", L.H. Lim and I proved that a generalization of fast techniques in linear algebra to the case of higher dimensional tensors is unlikely (unless P = NP). With the team of De Loera, we explored some iterative algebraic techniques for solving hard combinatorial problems. I studied word equations solvable in terms of radicals (to be thought of as a noncommutative Abel theory) with Levine and Rhea using a blend of techniques from algebra, combinatorics, and number theory. And with Martin del Campo, we studied stabilization problems in toric algebra arising from questions in
chemistry and algebraic statistics. In theoretical neuroscience, I have studied with Sommer's group applications of sparse coding and compressed sensing to a model for bandwidth-limited communication between agents (populations of neurons). Also with Sommer (and Mehta), I have been investigating neurologically plausible circuitry for clustering and memory. These ideas will form a part of a mathematical neuroscience course I am developing with Sommer. And with PI Koepsell, I am working out the mathematics for a new phase distribution model which has applications to the analysis of the oscillatory connectivity between regions in the brain. Please let me know if you need anything else from me. Have a wonderful holiday!! Best regards, -Chris Publications: ------------------------------------------------------ Pure and Computational Mathematics ------------------------------------------------------ [6] (with A. Martin del Campo) Symmetric stabilization of toric ideals, submitted FPSAC 2010 (a journal article is in preparation) www.msri.org/people/members/chillar/files/HM-InvarChainStabDec10.pdf [5] (with L. Levine and D. Rhea) Word equations in a uniquely divisible group, submitted FPSAC 2010 (a journal article is in preparation) www.msri.org/people/members/chillar/files/HLR-UniDivGrps-Dec10b.pdf [4] (with J. De Loera, P. Malkin, M. Omar) Iterative algebraic algorithms for the recognition of combinatorial properties, submitted to IPCO 2010. (a journal article is in preparation) www.msri.org/people/members/chillar/files/tenpages.pdf [3] (with L.H. Lim) Most tensor problems are NP-Hard, submitted to STOC 2010 (a journal article version is in preparation). www.msri.org/people/members/chillar/files/tensorNPhardFINAL-STOC10.pdf [2] (with S. Sullivant) Finite Groebner bases in infinite dimensional polynomial rings and applications, submitted to Advances in Math. http://arxiv.org/abs/0908.1777
Page 1 and 2:
Final Report, 2005-2010 and Annual
Page 3 and 4:
6. Appendix - Final Reports .......
Page 5 and 6:
• Spring 2008: Representation The
Page 7 and 8:
place the highest value on the oppo
Page 9 and 10:
which establishes the relation betw
Page 11 and 12:
Public Understanding of Mathematics
Page 14 and 15:
1.3 Scientific Programs and their A
Page 16 and 17:
The first week of May 2010 coincide
Page 18 and 19:
The goal of this program was, throu
Page 20 and 21:
"An illustration of the tropical Ab
Page 22 and 23:
• lead to new breakthroughs in th
Page 24 and 25:
Other mathematical breakthroughs th
Page 26 and 27:
• Advice on preparing for intervi
Page 28 and 29:
An off-site workshop partially fund
Page 30 and 31:
1.7 Other Scientific Workshops Hot
Page 32 and 33:
experienced circle leaders. Togethe
Page 34 and 35:
2. Program and Workshop Data 2.1 Pr
Page 36 and 37:
Jöricke Burglind Institut des Haut
Page 38 and 39:
Smith Ivan Centre for Mathematical
Page 40 and 41:
Home Institution Classified by Stat
Page 42 and 43:
2.4 Workshop Participant List (See
Page 44 and 45:
Page 46 and 47:
2.7 Program Publication List Last N
Page 48 and 49:
Ghiggini Paolo Sutures and contact
Page 50 and 51:
Lekili Yanki Geometric composition
Page 52 and 53:
Draisma Jan The tropical projective
Page 54 and 55:
Krasner Daniel Patterns in sl(2)-li
Page 56 and 57:
Sarkar Sucharit Murasugi sums Matt
Page 58 and 59:
Falk Michael Feichtner Eva Tropical
Page 60 and 61:
Manolescu Ciprian Manolescu Ciprian
Page 62 and 63:
Steingrimsson Einar Steingrimsson E
Page 64 and 65:
Here are additional details on the
Page 66 and 67:
Kutluhan, Cagatay Lekili, Yanki Cag
Page 68 and 69:
Savelyev, Yakov Vertesi, Vera Yakov
Page 70 and 71:
Katz, Eric Lopez de Medrano, Lucia
Page 72 and 73:
Grigsby, Elisenda Kutluhan, Cagatay
Page 74 and 75:
Sazdanovic, Radmila Wehrli, Stephan
Page 76 and 77:
Angeltveit, Vigleik Crofts, Scott H
Page 78 and 79:
3.2 Postdoctoral Fellow Placement L
Page 80 and 81:
3.4 Postdoctoral Fellow Demographic
Page 82 and 83:
Home Institution Classified by Coun
Page 84 and 85:
SGS 1: IAS/PCMI Summer Workshop: Th
Page 86 and 87:
Jafarov, Elchin University of Alask
Page 88 and 89:
Xie, Yu Purdue University Graduate
Page 90 and 91:
Page 92 and 93:
4.3 Program Associates Program Asso
Page 94 and 95:
P r o g r a m A s s o c i a t e s D
Page 96 and 97:
Home Institution Classified by Coun
Page 98 and 99:
5. Undergraduate Program (MSRI-UP)
Page 100 and 101:
This project seeks to use elliptic
Page 102 and 103:
6. Appendix - Final Reports 97
Page 104 and 105:
2 2. Participants The response to o
Page 106 and 107:
4 • Gleb Koshevoy: Bases of tropi
Page 108 and 109:
6 While at MSRI, Gathmann extended
Page 110 and 111:
8 In conclusion, my postdoc at MSRI
Page 112 and 113:
10 -with Christian Haase, who staye
Page 114 and 115:
12 “I was working on the relation
Page 116 and 117:
14 Josephine Yu PhD: UC Berkeley, 2
Page 118 and 119: 16 6. Alex Fink was an invited spea
Page 120 and 121: Tropical Geometry Postdoctoral Fell
Page 122 and 123: Tropical Geometry Demographic Summa
Page 124 and 125: Ozsváth-Szabó Heegaard homology t
Page 126 and 127: field. Nevertheless, some of it is
Page 128 and 129: developments which occurred in this
Page 130 and 131: the audience would know a little ab
Page 132 and 133: on the group of Hamiltonian diffeom
Page 134 and 135: German Research Foundation Mentor:
Page 136 and 137: Mark spend his time at MSRI working
Page 138 and 139: PhD: University of Texas, 2007 Posi
Page 140 and 141: example Gadbled, Mandini, Ma’u, H
Page 142 and 143: Symplectic and Contact Geometry and
Page 144 and 145: Symplectic and Contact Geometry and
Page 146 and 147: 2 REPORT ON THE MSRI WORKSHOP “HO
Page 152 and 153: Homology Theory of Knots and Links
Page 154 and 155: Complementary Program August 17, 20
Page 156 and 157: Complementary Program 2009-10 Postd
Page 158 and 159: Complementary Program Demographic S
Page 160 and 161: MID YEAR REPORT - DECEMBER 2009 VIG
Page 162 and 163: California. We talked about several
Page 164 and 165: EXTERNAL POSTDOCTORAL FELLOW REPORT
Page 166 and 167: on. While his research area is some
Page 170 and 171: [1] (with Garcia-Puente, Martin del
Page 172 and 173: REPORT FROM MENTOR June 2010 Year e
Page 174 and 175: I have also begun working on relate
Page 176 and 177: 2 Professional Travel Sep. 6 - 26,
Page 178 and 179: REPORT FROM MENTOR June 2010 Karl h
Page 180 and 181: POSTDOCTORAL FELLOW REPORT June 201
Page 182 and 183: REPORT FROM MENTOR June 2010 ------
Page 184 and 185: Postdoctoral Program supported by t
Page 186 and 187: RO(S 1 )-graded homotopy groups of
Page 188 and 189: MSRI POSTDOCTORAL FELLOWSHIP REPORT
Page 190 and 191: 2 TRISTRAM BOGART and its facets ar
Page 192 and 193: To Whom It May Concern: During the
Page 194 and 195: MSRI FELLOWSHIP FINAL REPORT SCOTT
Page 196 and 197: As his mentor at UCSC, I had freque
Page 198 and 199: - UC Davis Combinatorics Seminar -
Page 200 and 201: Christopher J. Hillar University of
Page 202 and 203: G. Isely, C. Hillar, and F. Sommer,
Page 204 and 205: Postdoc Report for: Dr. Christopher
Page 206 and 207: 2 NSF REPORT FOR ERIC KATZ linear s
Page 208 and 209: Year-End Report 2010-11 NSF Math In
Page 210 and 211: Jan. 25 - 28, 2011 Recruitment Visi
Page 212 and 213: MSRI POSTDOCTORAL FELLOWSHIP REPORT
Page 214 and 215: Final report: mentoring Sikimeti Ma
Page 216 and 217: eginning of the Fall semester, and
Page 218 and 219:
MSRI FINAL REPORT JARED SPECK 1. Ba
Page 220 and 221:
External Postdoctoral Fellows 2009-
Page 222 and 223:
External Postdoctoral Fellows 2009-
Page 224 and 225:
2 connections to geometry, topology
Page 226 and 227:
Connections for Women: Tropical Geo
Page 228 and 229:
Participant List MSRI Workshop: Con
Page 230 and 231:
Connections for Women: Tropical Geo
Page 232 and 233:
2 Combinatorics, Several Complex Va
Page 234 and 235:
Introductory Workshop: Tropical Geo
Page 236 and 237:
Currently Available Videos � Sam
Page 238 and 239:
Name Institution Hering, Milena Uni
Page 240 and 241:
Introductory Workshop: Tropical Geo
Page 242 and 243:
analysis. The clarity of Payne’s
Page 244 and 245:
Tropical Geometry in Combinatorics
Page 246 and 247:
Page 248 and 249:
Name Institution Kharlamov, Viatche
Page 250 and 251:
Tropical Geometry in Combinatorics
Page 252 and 253:
Above satisfactory 35 73% Somewhat
Page 254 and 255:
Tropical structures in geometry and
Page 256 and 257:
Research Workshop: Tropical Structu
Page 258 and 259:
Page 260 and 261:
Research Workshop: Tropical Structu
Page 262 and 263:
Algebraic Structures in the Theory
Page 264 and 265:
2 WORKSHOP REPORT toric fibrations,
Page 266 and 267:
Algebraic Structures in the Theory
Page 268 and 269:
Wednesday November 18, 2009 09:00AM
Page 270 and 271:
Participant List MSRI Workshop: Alg
Page 272 and 273:
Name Institution Smith, Ivan Centre
Page 274 and 275:
Research Workshop: Symplectic and C
Page 276 and 277:
Detailed review: We will now discus
Page 278 and 279:
Symplectic and Contact Topology and
Page 280 and 281:
Research Workshop: Symplectic and C
Page 282 and 283:
Page 284 and 285:
Page 286 and 287:
Final Report MSRI Connections for W
Page 288 and 289:
Connections : Symplectic and Contac
Page 290 and 291:
Currently Available Videos � Siki
Page 292 and 293:
Milin, Isidora University of Illino
Page 294 and 295:
Final Report Introductory Workshop
Page 296 and 297:
at a variety of levels. Since a hig
Page 298 and 299:
Introductory Workshop: Symplectic a
Page 300 and 301:
Participant List MSRI Workshop: Int
Page 302 and 303:
Park, Jongil Seoul National Univers
Page 304 and 305:
Symplectic and Poisson Geometry in
Page 306 and 307:
Symplectic and Poisson Geometry in
Page 308 and 309:
Symplectic Geometry, Noncommutative
Page 310 and 311:
Page 312 and 313:
Page 314 and 315:
09:00AM - 10:00AM Registration 10:0
Page 316 and 317:
Page 318 and 319:
Page 320 and 321:
REPORT ON THE MSRI WORKSHOP “HOMO
Page 322 and 323:
of the theory via webs and foams mo
Page 324 and 325:
Schedule Connections for Women: Hom
Page 326 and 327:
Connections for Women: Homology The
Page 328 and 329:
04/29/2010 Connections for Women: H
Page 330 and 331:
REPORT ON THE MSRI WORKSHOP “INTR
Page 332 and 333:
INTRODUCTORY WORKSHOP, FINAL REPORT
Page 334 and 335:
Introductory Workshop: Homology The
Page 336 and 337:
Connections for Women: Homology The
Page 338 and 339:
Page 340 and 341:
Page 342 and 343:
Research Workshop: Homology Theorie
Page 344 and 345:
2 REPORT ON THE MSRI WORKSHOP “HO
Page 346 and 347:
4 REPORT ON THE MSRI WORKSHOP “HO
Page 348 and 349:
Schedule Research Workshop: Homolog
Page 350 and 351:
Currently Available Videos Research
Page 352 and 353:
Research Workshop: Homology Theorie
Page 354 and 355:
04/29/2010 Research Workshop: Homol
Page 356 and 357:
comprehensive lectures explaining t
Page 358 and 359:
Hot Topics: Black Holes in Relativi
Page 360 and 361:
Currently Available Videos � Miha
Page 362 and 363:
Shao, Shuanglin Institute for Advan
Page 364 and 365:
MATHEMATICAL SCIENCES RESEARCH INST
Page 366 and 367:
MPDI Summer Institute 2009: Final R
Page 368 and 369:
school teachers (in the case of sim
Page 370 and 371:
in length)? The audience would be e
Page 372 and 373:
Evaluation #1 1. What were the bene
Page 374 and 375:
Page 376 and 377:
6. Do you have to report to an admi
Page 378 and 379:
your class because your way of teac
Page 380 and 381:
employee with a summary of what you
Page 382 and 383:
what have you learned in this insti
Page 384 and 385:
Page 386 and 387:
Page 388 and 389:
Page 390 and 391:
Evaluation #9 (signed Kelly L.) 1.
Page 392 and 393:
therefore should not be given the j
Page 394 and 395:
would you like them organized? Plea
Page 396 and 397:
Evaluation #11 1. What were the ben
Page 398 and 399:
Evaluation #12 (signed Jake Disston
Page 400 and 401:
ideas are insignificant in light of
Page 402 and 403:
manipulative and pictorial level. F
Page 404 and 405:
Yes.. I would like to talk to 4 - 6
Page 406 and 407:
No, but I have continued to make my
Page 408 and 409:
5. Are you planning to work with co
Page 410 and 411:
(1) change the order of my curricul
Page 412 and 413:
I will show my 6th grade teacher co
Page 414 and 415:
to teaching and planning. Perhaps b
Page 416 and 417:
III - Develop a lesson on similarit
Page 418 and 419:
4. What are you going to implement/
Page 420 and 421:
matics? * How are people teaching t
Page 422 and 423:
Evaluation #23 (I guess this is Cla
Page 424 and 425:
Evaluation #24 1. What were the ben
Page 426 and 427:
2010 Mathematical Sciences Research
Page 428 and 429:
During the 2007-2009 summers, 46 st
Page 430 and 431:
MSRI-UP peers promoted mathematical
Page 432 and 433:
The outcome of all the students’
Page 434 and 435:
school in mathematics.” They prov
Page 436 and 437:
16. Evidence Already Pointing to Lo
Page 438 and 439:
II. Research Projects 1. Your resea
Page 440 and 441:
5. Is there a workshop, discussion
Page 442 and 443:
V. Non-Academic Aspects of MSRI-UP
Page 444 and 445:
MSRI-UP 2010 Calendar, Weeks 1 and
Page 446 and 447:
MSRI-UP 2010 Calendar, Weeks 5 and
Page 448 and 449:
In 1945 Stanislaw Ulam posed a ques
Page 450 and 451:
2.2 Circle Theorem 2. Let r ∈ Q w
Page 452 and 453:
parabola is (a) The parabola and tw
Page 454 and 455:
Proof. For each 1 ≤ i < j ≤ 4 w
Page 456 and 457:
2.5 Non-Concyclic Points on a Parab
Page 458 and 459:
⎛ ⎜ 1 ⎜ 0 ⎜ 0 ⎜ 0 ⎜ 0
Page 460 and 461:
following rational points: n23 = Y1
Page 464 and 465:
Toric Varieties Cox, David Invited
Page 466 and 467:
Toric varieties Held: June 15-26, 2
Page 468 and 469:
the graduate participants to hear a
Page 470 and 471:
This lecture series addressed topic
Page 472 and 473:
Participant List MSRI Workshop: Sym
Page 474 and 475:
Example of a Summer Graduate Worksh
Page 476 and 477:
Random Matrix theory July 6, 2009 t
Page 478 and 479:
Random Matrix Theory Held: July 6 -
Page 480 and 481:
Participant List MSRI Workshop: Ran
Page 482 and 483:
Below is the list of topics conside
Page 484 and 485:
stability estimates for the inverse
Page 486 and 487:
Participant List MSRI Workshop: Inv
Page 488 and 489:
The Arithmetic of L-Functions IAS/P
Page 490 and 491:
ackground material on group represe
Page 492 and 493:
Computational Theory of Real Reduct
show all

3. Postdoctoral Program - MSRI

Create successful ePaper yourself

Delete template?

Save as template?