AIM Preprints and Reprints
2016
Sequencing BPS spectra
Gukov, Sergei; Nawata, Satoshi; Saberi, Ingmar; Stošić, Marko; Sułkowski, Piotr J.
High Energy Phys. 2016, no. 3, 004, front matter+160 pp
MR3501778
MSC:81T60
Asymptotic spectral analysis in colliding leaky quantum layers (pdf)
Kondej, Sylwia; Krejčiřík, David
J. Math. Anal. Appl. 446 (2017), no. 2, 1328-1355
MR3563037
MSC:81V45 (35Q40,78A50,81Q05,81Q12,81Q15,81Q37,81Q80)
Cannon-Thurston maps for hyperbolic free group extensions
Dowdall, Spencer; Kapovich, Ilya; Taylor, Samuel J.
Israel J. Math. 216 (2016), no. 2, 753-797
MR3557464
MSC:20F65 (20E22,20F05,20F28,20F67,20F69,57M07,57M27)
2015
Knots, BPS states, and algebraic curves (pdf)
Garoufalidis, Stavros; Kucharski, Piotr; Sulkowski, Piotr
Comm. Math. Phys. 346 (2016), no. 1, 75-113
MR3528417
MSC:57M27 (11B65,14H81,33C90,57R56)
Loops in $ SU(2)$, Riemann surfaces, and factorization, I (pdf)
Basor, Estelle; Pickrell, Doug
SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), Paper No. 025, 29 pp
MR3470745
MSC:22E67 (22E65,30F20,32A45,32C36,47A68,47B35)
A monad measure space for logarithmic density (pdf)
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino;Mahlburg, Karl
Monatsh. Math. 181 (2016), no. 3, 577-599
MR3552800
MSC:11B05 (26E35,28D05,28E05,37A45)
High density piecewise syndeticity of product sets in amenable groups (pdf)
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
J. Symb. Log. 81 (2016), no. 4, 1555-1562
MR3580478
MSC:11B13 (03H05,11B05,43A07)
2014
Weyl character formula in KK-theory (pdf)
Block, Jonathan; Higson, Nigel
Noncommutative geometry and physics. 3, 299-334, Keio COE Lect. Ser. Math. Sci., 1, World Sci. Publ., Hackensack, NJ, 2013
MR3098596
MSC:19K35 (58B34,58J22)
The principal rank characteristic sequence over various fields
Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael
Linear Algebra Appl. 459 (2014), 222-236
MR3247224
MSC:15B57 (05C50,15A03,15A15,15A18)
Sandpiles, spanning trees, and plane duality (pdf)
Chan, Melody; Glass, Darren; Macauley, Matthew; Perkinson, David; Werner, Caryn; Yang, Qiaoyu
SIAM J. Discrete Math. 29 (2015), no. 1, 461-471
MR3319526
MSC:05E18 (05C05,05C25)
Minimum rank of graphs with loops
Bozeman, Chassidy; Ellsworth, AnnaVictoria; Hogben, Leslie; Lin, Jephian Chin-Hung; Maurer, Gabi; Nowak, Kathleen; Rodriguez, Aaron; Strickland, James
Electron. J. Linear Algebra 27 (2014), 907-934
MR3312067
MSC:05C50
Positive polynomials in scalar and matrix variables, the spectral theorem, and optimization (pdf)
Helton, J. William; Putinar, Mihai
Operator theory, structured matrices, and dilations, 229-306, Theta Ser. Adv. Math., 7, Theta, Bucharest, 2007
MR2389626
MSC:47-02 (14P10,47A13,47A57,47A63,90C22)
s-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones (pdf)
Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis
Ramanujan J. 36 (2015), no. 1-2, 123-147
MR3296715
MSC:05A17 (05A19,13H10,52B11)
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (pdf)
Müller, Stefan; Feliu, Elisenda; Regensburger, Georg; Conradi, Carsten; Shiu, Anne; Dickenstein, Alicia
Found. Comput. Math. 16 (2016), no. 1, 69-97
MR3451424
MSC:92E20 (12D10,34A34,37C10,52C40,80A30)
Rainbow arithmetic progressions (pdf)
Butler, Steve; Erickson, Craig; Hogben, Leslie; Hogenson, Kirsten; Kramer, Lucas; Kramer, Richard L.; Lin, Jephian Chin-Hung; Martin, Ryan R.; Stolee, Derrick; Warnberg, Nathan; Young, Michael
J. Comb. 7 (2016), no. 4, 595-626
MR3538156
MSC:05D10 (11B25,11B57)
Abelian networks I. Foundations and examples (pdf)
Bond, Benjamin; Levine, Lionel
SIAM J. Discrete Math. 30 (2016), no. 2, 856-874
MR3493110
MSC:68Q10 (05C57,37B15,68Q45,68Q70,68Q80,68W10,90C10)
Distance two links (pdf)
Blair, Ryan; Campisi, Marion; Johnson, Jesse; Taylor, Scott A.; Tomova, Maggy
Geom. Dedicata 180 (2016), 17-37
MR3451454
MSC:57M25
On the spectral distribution of large weighted random regular graphs (pdf)
Goldmakher, Leo; Khoury, Cap; Miller, Steven J.; Ninsuwan, Kesinee
Random Matrices Theory Appl. 3 (2014), no. 4, 1450015, 22 pp
MR3279620
MSC:05C80 (05C22,05C38,15B52,60F05)
Intermediate sums on polyhedra II: bidegree and Poisson formula (pdf)
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michéle
Mathematika 62 (2016), no. 3, 653-684
MR3464986
MSC:52B20 (05A15,52B45,52C07,68R05,68U05,94C15)
2013
Classification of integral modular categories of Frobenius-Perron dimension pq4 and p2q2
Bruillard, Paul; Galindo, César; Hong, Seung-Moon; Kashina, Yevgenia; Naidu, Deepak; Natale, Sonia; Plavnik, Julia Yael; Rowell, Eric C.
Canad. Math. Bull. 57 (2014), no. 4, 721-734
MR3270794
MSC:18D10
Bounding the dimensions of rational cohomology groups (pdf)
Bendel, Christopher P.; Boe, Brian D.; Drupieski, Christopher M.; Nakano, Daniel K.; Parshall, Brian J.; Pillen, Cornelius; Wright, Caroline B.
Developments and retrospectives in Lie theory, 51-69, Dev. Math. 38, Springer, Cham, 2014
MR3308777
MSC:20G10
On a Sumset Conjecture of Erdős (pdf)
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
Canad. J. Math. 67 (2015), no. 4, 795-809
MR3361013
MSC:11B05 (11B13,11P70,28D15,37A45)
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories (pdf)
Ambartsoumian, G.; Boman, J.; Krishnan, V. P.; Quinto, E. T.
Geometric analysis and integral geometry, 45-58. Contemp. Math., 598, Amer. Math. Soc., Providence, RI, 2013
MR3156437
MSC:44A12 (35A27,35S05,35S30,58J40,92C55)
Minimum rank with zero diagonal
Grood, Cheryl; Harmse, Johannes; Hogben, Leslie; Hunter, Thomas J.; Jacob, Bonnie; Klimas, Andrew; McCathern, Sharon
Electron. J. Linear Algebra 27 (2014), 458-477
MR3240026
MSC:05C50 (15A03,15B57)
The spectral curve of the Eynard-Orantin recursion via the Laplace transform (pdf)
Dumitrescu, Olivia; Mulase, Motohico; Safnuk, Brad; Sorkin, Adam
Algebraic and geometric aspects of integrable systems and random matrices, 263-315, Contemp. Math., 593, Amer. Math. Soc., Providence, RI, 2013
MR3087960
MSC:14H15 (05C30,11P21,14N35,81T30)
Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs
Berliner, Adam; Brown, Cora; Carlson, Joshua; Cox, Nathanael; Hogben, Leslie; Hu, Jason; Jacobs, Katrina; Manternach, Kathryn; Peters, Travis; Warnberg, Nathan; Young, Michael
Involve 8 (2015), no. 1, 147-167
MR3321717
MSC:05C50 (05C20,15A03)
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves (pdf)
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W., Jr.; Poonen, Bjorn; Rains, Eric
Camb. J. Math. 3 (2015), no. 3, 275-321
MR3393023
MSC:11G05 (14G25)
Intransitive dice (pdf)
Conrey, Brian; Gabbard, James; Grant, Katie; Liu, Andrew; Morrison, Kent E.
Math. Mag. 89 (2016), no. 2, 133-143
MR3510988
MSC:91A60 (60C05)
The Laplace transform, mirror symmetry, and the topological recursion of Eynard-Orantin (pdf)
Mulase, Motohico
Geometric methods in physics, 127-142, Trends Math., Birkhäuser/Springer, Basel, 2013
MR3363998
MSC:14N35 (05C30,14J33,81T30)
2012
Compositions constrained by graph Laplacian minors (pdf)
Braun, Benjamin; Davis, Robert; Doering, Jessica; Harrison, Ashley; Noll, Jenna; Taylor, Clifford
Integers 13 (2013), Paper No. A41, 22 pp
MR3097155
MSC:05A17 (05A15,05A19,05C50,11B75)
Zero forcing number, maximum nullity, and path cover number of subdivided graphs
Catral, Minerva; Cepek, Anna; Hogben, Leslie; Huynh, My; Lazebnik, Kirill; Peters, Travis; Young, Michael
Electron. J. Linear Algebra 23 (2012), 906-922
MR3007196
MSC:05C50
Supercharacters, exponential sums, and the uncertainty principle (pdf)
Brumbaugh, J. L.; Bulkow, Madeleine; Fleming, Patrick S.; Garcia German, Luis Alberto; Garcia, Stephan Ramon; Karaali, Gizem; Michal, Matt; Turner, Andrew P.; Suh, Hong
J. Number Theory 144 (2014), 151-175
MR3239156
MSC:11T23 (20C15)
Intermediate sums on polyhedra: computation and real Ehrhart theory (pdf)
Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M.
Mathematika 59 (2013), no. 1, 1-22
MR3028168
MSC:52C07 (05A15,52B45,68R05,68U05,90C10)
2011
Mahonian partition identities via polyhedral geometry (pdf)
Beck, Matthias; Braun, Benjamin; Le, Nguyen
From Fourier analysis and number theory to Radon transforms and geometry, 41-54, Dev. Math., 28, Springer, New York, 2013
MR2986952
MSC:05A15 (05A17,11P81,52C07)
Parameters related to tree-width, zero forcing, and maximum nullity of a graph
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
J. Graph Theory 72 (2013), no. 2, 146-177
MR3010007
MSC:05C85 (05C05,05C38,05C70)
Positive semidefinite zero forcing
Ekstrand, Jason; Erickson, Craig; Hall, H. Tracy; Hay, Diana; Hogben, Leslie; Johnson, Ryan; Kingsley, Nicole; Osborne, Steven; Peters, Travis; Roat, Jolie; Ross, Arianne; Row, Darren D.; Warnberg, Nathan; Young, Michael
Linear Algebra Appl. 439 (2013), no. 7, 1862-1874
MR3090441
MSC:05C50
2010
A three-dimensional signed small ball inequality (pdf)
Bilyk, Dmitriy; Lacey, Michael T.; Parissis, Ioannis; Vagharshakyan, Armen
Dependence in probability, analysis and number theory, 73-87, Kendrick Press, Heber City, UT, 2010
MR2731041
MSC:11K36 (11K38,42C10)
Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements (pdf)
Denham, Graham; Schulze, Mathias
Arrangements of hyperplanes, Sapporo 2009, 27-57, Adv. Stud. Pure Math., 62, Math. Soc. Japan, Tokyo, 2012
MR2933791
MSC:52C35 (14F10,16W25,32S22)
Geometric and topological structures related to M-branes (pdf)
Sati, Hisham
Superstrings, geometry, topology, and $C^\ast$-algebras, 181-236 Proc. Sympos. Pure Math., 81, Amer. Math. Soc., Providence, RI, 2010
MR2681765
MSC:53C08 (19L50,55N20,55N34,55R65,81T30,81T50)
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (pdf)
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
Adv. Math. 229 (2012), no. 4, 2310-2337
MR2880223
MSC:16T30 (05E05,16T05)
Minimum rank, maximum nullity and zero forcing number for selected graph families
Almodovar, Edgard; DeLoss, Laura; Hogben, Leslie; Hogenson, Kirsten; Murphy, Kaitlyn; Peters, Travis; Ramŕez, Camila A.
Involve 3 (2010), no. 4, 371-392
MR2763266
MSC:05C50 (15A03,15A18)
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra (pdf)
Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M.
Found. Comput. Math. 12 (2012), no. 4, 435-469
MR2946460
MSC:52C07 (05A15,68R05,68U05,90C10)
Constructions of potentially eventually positive sign patterns with reducible positive part
Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio
Involve 4 (2011), no. 4, 405-410
MR2905236
MSC:15B35 (05C20,05C50)
A brief introduction to Hilbert space frame theory and its applications
Casazza, Peter G.; Lynch, Richard G.
Finite frame theory, 1-51, Proc. Sympos. Appl. Math., 73, AMS Short Course Lecture Notes, Amer. Math. Soc., Providence, RI, 2016
MR3526431
MSC:42C15
Borcea's variance conjectures on the critical points of polynomials (pdf)
Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei
Notions of positivity and the geometry of polynomials, 283-309, Trends Math., Birkhüser/Springer Basel AG, Basel, 2011
MR3051172
MSC:30C10 (12D10,15A42,26C10)
Minimum Rank, maximum nullity, and zero forcing number of graphs
Fallat, Shaun M.; Hogben, Leslie
Handbook of Linear Algebra, Second Edition, Chapter 46, November 26, 2013 by Chapman and Hall/CRC
none
MSC:94A40 (37N35,41A30,42C15,93D25,94C99)
2009
Minimum rank of skew-symmetric matrices described by a graph
IMA-ISU research group on minimum rank.
IMA-ISU research group members: Mary Allison, Elizabeth Bodine, Luz Maria DeAlba, Joyati Debnath, Laura DeLoss, Colin Garnett, Jason Grout, Leslie Hogben, Bokhee Im, Hana Kim, Reshmi Nair, Olga Pryporova, Kendrick Savage, Bryan Shader and Amy Wangsness Wehe. Linear Algebra Appl. 432 (2010), no. 10, 2457-2472
MR2608168
MSC:15A03 (05C50,05C70,15B57)
Topological quantum field theories from compact Lie groups (pdf)
Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin
A celebration of the mathematical legacy of Raoul Bott, 367-403 CRM Proc. Lecture Notes, 50, Amer. Math. Soc., Providence, RI, 2010
MR2648901
MSC:57R56 (18D05,18D10,57R58,81T45)
On the classification of topological field theories (pdf)
Lurie, Jacob
Current developments in mathematics, 2008, 129-280, Int. Press, Somerville, MA, 2009
MR2555928
MSC:57R56 (18D10,18G30,57R15,57R75)
Sign patterns that allow eventual positivity
Berman, Abraham; Catral, Minerva; DeAlba, Luz M.; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, D. D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, P.
Electron. J. Linear Algebra 19 (2009), 108-120
MR2599880
MSC:15B35 (05C50)
Uniform bounds on pre-images under quadratic dynamical systems (pdf)
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
Math. Res. Lett. 16 (2009), no. 1, 87-101
MR2480563
MSC:11G50 (11G18,14G05,14G25)
On Fk-like groups
Ol'shanskiĭ , A. Yu. and Sapir, M. V.
Algebra Logika 48 (2009), no. 2, 245-257, 284, 286-287; translation in Algebra Logic 48 (2009), no. 2, 140-146
MR2573020
MSC:20F65
Sparse fusion frames: existence and construction
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
Adv. Comput. Math. 35 (2011), no. 1, 1-31
MR2805789
MSC:42C15 (46C99,65T60,68P30,94A12)
Optimization of 3D Plasmonic Crystal Structures for Refractive Index Sensing
Maria, Joana; Tu T. Truong, Jimin Yao, Tae-Woo Lee, Ralph G. Nuzzo, Sven Leyffer, Stephen K. Gray, and John A. Rogers
J. Phys. Chem. C 2009, 113, 10493-10499
none
MSC:53D35 (53D12,57R17,57R57)
Zero forcing parameters and minimum rank problems (pdf)
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
Linear Algebra Appl. 433 (2010), no. 2, 401-411
MR2645093
MSC:15A03 (05C50)
On the classification of topological field theories (pdf)
Lurie, Jacob
Current developments in mathematics, 2008, 129-280, Int. Press, Somerville, MA, 2009
MR2555928
MSC:57R56 (18D10,18G30,57R15,57R75)
2008
Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices (pdf)
Farb, Benson; Hruska, Chris; Thomas, Anne
Geometry, rigidity, and group actions, 515-560, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 2011
MR2807842
MSC:22F50 (20F65,22E40)
Additive invariants on quantum channels and regularized minimum entropy
Friedland, Shmuel
Topics in operator theory. Volume 2. Systems and mathematical physics, 237-245, Oper. Theory Adv. Appl., 203, Birkhäuser Verlag, Basel, 2010
MR2683243
MSC:81P45 (15A42,81P16,94A17,94A40)
The Beilinson-Drinfeld Grassmannian and symplectic knot homology (pdf)
Kamnitzer, Joel
Grassmannians, moduli spaces and vector bundles, 81-94, Clay Math. Proc., 14, Amer. Math. Soc., Providence, RI, 2011
MR2807850
MSC:53D37 (14D24,57M27)
Zero forcing parameters and minimum rank problems (pdf)
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
Linear Algebra Appl. 433 (2010), no. 2, 401-411
MR2645093
MSC:15A03 (05C50)
2007
Random continuous functions
Brodhead, Paul; Cenzer, Douglas; Remmel, Jeffrey B.
Proceedings of the Third International Conference on Computability and Complexity in Analysis (CCA 2006), 275-287 (electronic), Electron. Notes Theor. Comput. Sci., 167, Elsevier, Amsterdam, 2007.
MR2321789
MSC:03D80 (68Q30)
The Kadison-Singer problem in mathematics and engineering: a detailed account (pdf)
Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric
Operator theory, operator algebras, and applications, 299-355, Contemp. Math., 414, Amer. Math. Soc., Providence, RI, 2006.
MR2277219
MSC:42B35 (42-02,46-02,46C05,46L30,47-02,47L30)
K-trivial closed sets and continuous functions
Barmpalias, George; Cenzer, Douglas; Remmel, Jeffrey B.; Weber, Rebecca
Computation and logic in the real world, 135-145, Lecture Notes in Comput. Sci., 4497, Springer, Berlin, 2007
MR2646223
MSC:03D32
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. With the assistance of Lina Lee
Krantz, Steven G.
Applied and Numerical Harmonic Analysis. Birkhäuser Boston, Inc., Boston, MA, 2009. xiv+360 pp.
MR2508404
MSC:43A80 (22E30,31B10,31B25,32A50,42B05,42B20,46E15)
Complex variables
Krantz, Steven G.
A physical approach with applications and MATLAB$^\circledR$ Textbooks in Mathematics. Chapman & Hall/CRC, Boca Raton, FL, 2008. xviii+421 pp.
MR2503204
MSC:30-01 (30-04)
2006
Friendly measures, homogeneous flows and singular vectors
Kleinbock, Dmitry; Weiss, Barak
Algebraic and topological dynamics, 281-292, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
MR2180240
MSC:11J83 (37A45,37D40)
Jacobiens, jacobiennes et stabilité numérique
Couveignes, Jean-Marc
Groupes de Galois arithmétiques et différentiels, 91-125, Sémin. Congr., 13, Soc. Math. France, Paris, 2006.
MR2316347
MSC:11G18 (11F11,11G10,14G35,14H40)
Ehrhart polynomial roots and Stanley's non-negativity theorem
Braun, Benjamin; Develin, Mike
Integer points in polyhedra–geometry, number theory, representation theory, algebra, optimization, statistics, 67-78, Contemp. Math., 452, Amer. Math. Soc., Providence, RI, 2008.
MR2405764
MSC:52C07 (05C15,26C10)
Fredholm determinants and the Evans function for difference equations
Cramer, David; Latushkin, Yuri
Perspectives in operator theory, 111-135, Banach Center Publ., 75, Polish Acad. Sci., Warsaw, 2007.
MR2336714
MSC:47B39 (37K60,39A70,47A53,47B10)
Geometric integration theory
Krantz, Steven G.; Parks, Harold R.
Cornerstones. Birkhäuser Boston, Inc., Boston, MA, 2008. xvi+339 pp.
MR2427002
MSC:49Q15 (26-01,26B20,28-01,49Q05,58A25,58C35)
Jacobiens, jacobiennes et stabilité numérique
Couveignes, Jean-Marc
Groupes de Galois arithmétiques et différentiels, 91-125, Sémin. Congr., 13, Soc. Math. France, Paris, 2006
MR2316347
MSC:11G18 (11F11,11G10,14G35,14H40)
Cocycle categories
Jardine, J. F.
Algebraic topology, 185-218, Abel Symp., 4, Springer, Berlin, 2009
MR2597739
MSC:18G55 (18D20,18F20,19D10)
Pretentious multiplicative functions and an inequality for the zeta-function
Granville, Andrew; Soundararajan, Kannan
Anatomy of integers, 191-197, CRM Proc. Lecture Notes, 46, Amer. Math. Soc., Providence, RI, 2008
MR2437976
MSC:11N25 (11L20,11L40,11M06,11N60)
2005
Secondary terms in the number of vanishings of quadratic twists of elliptic curve $L$-functions (pdf)
Conrey, J. Brian; Pokharel, Atul; Rubinstein, Michael O.; Watkins, Mark
Ranks of elliptic curves and random matrix theory, 215-232 London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
MR2322347
MSC:11G05 (11G40,11M41)
Discretisation for odd quadratic twists (pdf)
Conrey, J. Brian; Rubinstein, Michael O.; Snaith, Nina C.; Watkins, Mark
Ranks of elliptic curves and random matrix theory, 201-214 London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
MR2322346
MSC:11G40 (11G05)
The path to recent progress on small gaps between primes (pdf)
Goldston, D. A.; Pintz, J.;Yildirim, Cem Yalçin
Analytic number theory, 129-139, Clay Math. Proc., 7, Amer. Math. Soc., Providence, RI, 2007.
MR2362197
MSC:11N05
2004
Coefficients and roots of Ehrhart polynomials (pdf)
Beck, M.; De Loera, J. A.; Develin, M.; Pfeifle, J.; Stanley, R. P.
Integer points in polyhedra–geometry, number theory, algebra, optimization, 15-36, Contemp. Math., 374, Amer. Math. Soc., Providence, RI, 2005.
MR2134759
MSC:52B20 (05A15,52C07)
Basic analytic number theory (pdf)
Farmer, David W.
Recent perspectives in random matrix theory and number theory. 185-200 London Math. Soc. Lecture Note Ser., 322, Cambridge Univ. Press, Cambridge, 2005.
MR2166462
MSC:11M06 (11-02,11N37)
2003
On the rank of a tropical matrix (pdf)
Develin, Mike; Santos, Francisco; Sturmfels, Bernd
Combinatorial and computational geometry, 213-242, Math. Sci. Res. Inst. Publ., 52, Cambridge Univ. Press, Cambridge, 2005
MR2178322
MSC:15A03 (05B35,15A33)
2002
Lectures on sieves (pdf)
Heath-Brown, D. R.
Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 50 pp Bonner Math. Schriften, 360, Univ. Bonn, Bonn, 2003.
MR2075627
MSC:11N35 (11N36)
2001
Holonomic approximation and Gromov's $h$-principle (pdf)
Eliashberg, Yakov M.; Mishachev, Nikolai M.
Essays on geometry and related topics, Vol. 1, 2, 271-285, Monogr. Enseign. Math., 38, Enseignement Math., Geneva, 2001.
MR1929330
MSC:58A99 (57R99,58A20)
Sample path properties of the stochastic flows
Dolgopyat, Dmitry; Kaloshin, Vadim; Koralov, Leonid
Ann. Probab. 32 (2004), no. 1A, 1-27.
MR2040774
MSC:60G17 (37A25,37D25,37H15,60F05,60F10,76F25)
2000
On the $L^ 2$-instability and $L^ 2$-controllability of steady flows of an ideal incompressible fluid
Shnirelman, Alexander
Journées "Équations aux Dérivées Partielles" (Saint-Jean-de-Monts, 1999), Exp. No. XIII, 8 pp., Univ. Nantes, Nantes, 1999.
MR1718998
MSC:76E99 (37J99,37N10,76B75,93B05)
Beyond pair correlation
Montgomery, H. L.; Soundararajan, K.
Paul Erdős and his mathematics, I (Budapest, 1999), 507-514, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002.
MR1954710
MSC:11N05
On the frequency of vanishing of quadratic twists of modular $L$-functions (pdf)
Conrey, J. B.; Keating, J. P.; Rubinstein, M. O.; Snaith, N. C.
Number theory for the millennium, I (Urbana, IL, 2000), 301-315, A K Peters, Natick, MA, 2002.
MR1956231
MSC:11M26 (11F67,11G40)
1999
Stability for holomorphic spheres and Morse theory
Cohen, Ralph L.; Jones, John D. S.; Segal, Graeme B.
Geometry and topology: Aarhus (1998), 87-106, Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000.
MR1778098
MSC:53D40 (32Q65,57R17,58E05)
1998
Iwasawa theory for elliptic curves
Greenberg, Ralph
Arithmetic theory of elliptic curves (Cetraro, 1997), 51-144, Lecture Notes in Math., 1716, Springer, Berlin, 1999.
MR1754686
MSC:11G05 (11G40,11R23,11R34)