Robert Pollack Professor of Mathematics University of Arizona Office: ENR2-S359 E-mail: rpollack@arizona.edu Office hours: TBA

Teaching Algebra and Number Theory Seminar CV

Publications and preprints

arXiv	On the maximality of the lambda-invariants of Mazur--Tate elements     submitted     Antonio Lei, Robert Pollack, Naman Pratap
arXiv	On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes     submitted     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     to appear in Duke Mathematical Journal     Matthew Emerton, Robert Pollack, Tom Weston
arXiv	Non-vanishing of critical L-values in Hida families     to appear in Math Research Letters     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
	Congruences with Eisenstein series and μ-invariants     Compositio 155 (2019), no. 5, 863--901.     Joel Bellaiche, Robert Pollack
	Slopes of modular forms and the ghost conjecture II     Transactions of the AMS, 372 (2019), no. 1, 357--388.     John Bergdall, Robert Pollack
	Slopes of modular forms and the ghost conjecture     IMRN (2019), no. 4, 1125--1144.     John Bergdall, Robert Pollack
	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
	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
	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
	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
	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
	Kida's formula and congruences of modular forms     Documenta Mathematica, 2006, extra volume (in honor of John Coates), 615--630.         Robert Pollack, Tom Weston
	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
	Variation of the Iwasawa invariants in Hida families     Inventiones Mathematicae, 163 (2006), no. 3, 523--580         Matthew Emerton, Robert Pollack, Tom Weston
	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
	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