Robert Pollack Professor of Mathematics University of Arizona Office: ENR2-S359 E-mail: rpollack@arizona.edu Office hours:     Tuesday 3:30-4:30 (ENR2 S359)     Wednesday 10-11 (ENR2 S359)     Wednesday 11-12 (MTL 123)

Teaching Algebra and Number Theory Seminar CV

Publications and preprints

arXiv	On the variation of slopes over moduli stacks of Galois representations     submitted     John Bergdall, Robert Pollack
arXiv	Counting level-raising congruences using modular representation theory     submitted     Jaclyn Lang, Robert Pollack, Preston Wake
arXiv	Dedekind zeta functions of non-Galois torsion fields of elliptic curves     submitted     Robert Pollack, Tom Weston
arXiv	On the maximality of the lambda-invariants of Mazur--Tate elements     submitted     Antonio Lei, Robert Pollack, Naman Pratap
arXiv	An appendix to The refined Tamagawa number conjectures for GL2 by Chan-Ho Kim     submitted     Chan-Ho Kim, Robert Pollack
arXiv	On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes     to appear in The Quarterly Journal of Mathematics     Antonio Lei, Robert Pollack, Naman Pratap
arXiv	New phenomena arising from ℒ-invariants of modular forms     to appear in Algebra & Number Theory     John Bergdall, Robert Pollack
arXiv	Iwasawa invariants in residually reducible Hida families     Tunisian Journal of Mathematics, Vol. 7 (2025), No. 3-4, 755–790.     Robert Pollack, Preston Wake
arXiv	Explicit reciprocity laws and Iwasawa theory for modular forms     Duke Mathematical Journal, Vol. 174 (2025), No. 11, 2133–2202.     Matthew Emerton, Robert Pollack, Tom Weston
arXiv	Non-vanishing of critical L-values in Hida families     Mathematical Research Letters, Vol. 33 (2026), No. 1, 57–81.     Robert Pollack, Vlad Serban
arXiv	p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou     submitted     Kazim Buyukboduk, Robert Pollack, Shu Sasaki
arXiv	Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture     Proceedings of the AMS, Ser. B, 9:432-444, 2022     John Bergdall, Robert Pollack
arXiv	Congruences with Eisenstein series and μ-invariants     Compositio 155 (2019), no. 5, 863--901.     Joel Bellaiche, Robert Pollack
arXiv	Slopes of modular forms and the ghost conjecture II     Transactions of the AMS, 372 (2019), no. 1, 357--388.     John Bergdall, Robert Pollack
arXiv	Slopes of modular forms and the ghost conjecture     IMRN (2019), no. 4, 1125--1144.     John Bergdall, Robert Pollack
arXiv	A remark on non-integral p-adic slopes for modular forms     Comptes Rendus Mathematique, 355 (2017), no. 3, 260--262.     John Bergdall, Robert Pollack
	On the freeness of anticyclotomic Selmer groups of modular forms     International Journal of Number Theory, 13 (2017), no. 6, 1443--1455.     Chan-Ho Kim, Robert Pollack, Tom Weston
arXiv	Explicit computations of Hida families via overconvergent modular symbols     Research in Number Theory, 2 (2016), Art. 25, 54 pp.     Evan Dummit, Marton Hablicsek, Robert Harron, Lalit Jain, Robert Pollack, Daniel Ross
arXiv	Arithmetic properties of Fredholm series for p-adic modular forms     Proceedings of the London Mathematical Society, (2016) 113 (4) 419--444.     John Bergdall, Robert Pollack
	Overconvergent modular symbols     Computations with Modular Forms (Heidelberg 2011), Contributions in Mathematical and Computational Sciences, Vol. 6, Springer, 2014.     Robert Pollack
	Critical slope p-adic L-functions    Journal of the London Mathematical Society, 87 (2013), no. 2, 428--452.     Robert Pollack, Glenn Stevens
arXiv	On anticyclotomic μ-invariants of modular forms    Compositio Mathematica, 147 (2011) no. 5, 1353--1381.     Robert Pollack, Tom Weston
	Hilbert modular forms and the Gross-Stark conjecture    Annals of Mathematics, 174 (2011) no. 1, 439--485.     Samit Dasgupta, Henri Darmon, Robert Pollack
arXiv	Mazur-Tate elements of non-ordinary modular forms    Duke Mathematical Journal, 156 (2011) no. 3, 349--385.     Robert Pollack, Tom Weston
	Overconvergent modular symbols and p-adic L-functions     Annales Scientifiques de l'Ecole Normale Superieure, serie 4, 44 fascicule 1 (2011), 1--42.         Robert Pollack, Glenn Stevens
	A construction of rigid analytic cohomology classes for congruence subgroups of SL(3,Z)     Canadian Journal of Mathematics 61 (2009) no. 3, 674--690.         David Pollack, Robert Pollack
	Two p-adic L-functions and rational points on elliptic curves with supersingular reduction     L-Functions and Galois Representations (Durham, 2007), London Math Society LNS 320, 300--332.         Masato Kurihara, Robert Pollack
arXiv	Kida's formula and congruences of modular forms     Documenta Mathematica, 2006, extra volume (in honor of John Coates), 615--630.         Robert Pollack, Tom Weston
arXiv	Iwasawa theory of elliptic curves at supersingular primes over Zp-extensions of number fields     Journal fur die Reine und Angewandte Mathematik, 598 (2006), 71--103         Adrian Iovita, Robert Pollack
	The efficient calculation of Stark-Heegner points via overconvergent modular symbols     Israel Journal of Mathematics, 153 (2006), 319--354         Henri Darmon, Robert Pollack
arXiv	Variation of the Iwasawa invariants in Hida families     Inventiones Mathematicae, 163 (2006), no. 3, 523--580         Matthew Emerton, Robert Pollack, Tom Weston
arXiv	An algebraic version of a theorem of Kurihara     Journal of Number Theory (special issue in honor of Arnold Ross), Vol 110/1 (2005), 164-177         Robert Pollack
arXiv	The main conjecture for CM elliptic curves at supersingular primes     Annals of Mathematics, 159 (2004) no. 1, 447-464         Robert Pollack, Karl Rubin
	On the p-adic L-function of a modular form at a supersingular prime     Duke Mathematical Journal, 118 (2003) no. 3, 523-558         Robert Pollack