Sug Woo SHIN (Sug Woo is my first name)

Professor of Mathematics, [my math genealogy page], [my MathSciNet page]

Email: sug + period + woo + period + my last name + at berkeley.edu
Address: 901 Evans Hall, Berkeley, CA 94720, USA

Editor of Astérisque, Manuscripta Mathematica and Journal of the Korean Math. Society.

CV [pdf]

Publication/Preprint

(errata [pdf])

• To be or not to be local (with Christophe Breuil, Florian Herzig, Yongquan Hu, Karol Koziol, Stefano Morra, Benjamin Schraen), [pdf], preprint
• On the non-generic part of the L²-cohomology of locally symmetric spaces (with Teruhisa Koshikawa), [pdf], preprint
• Local intertwining relations and co-tempered A-packets of classical groups (with Hiraku Atobe, Wee Teck Gan, Atsushi Ichino, Tasho Kaletha, Alberto Mínguez), [arXiv], preprint
• Counting points on Igusa varieties of Hodge type (with Sander Mack-Crane), [pdf], Math. Res. Lett. 32 (2025), no.5, 1597–1665
• Recent progress on Langlands reciprocity for GL(n): Shimura varieties and beyond (with Ana Caraiani), [pdf], Proc. Sympos. Pure Math., 112.1, 413–469, 2025
• Weak transfer from classical groups to general linear groups, [journal], Essent. Number Theory 3 (2024), no.1, 19–62
• The stable trace formula for Igusa varieties, II (with Alexander Bertoloni Meli), [pdf], to appear in Kyoto J. Math.
• The stable trace formula for Shimura varieties of abelian type (with Mark Kisin and Yihang Zhu), [pdf] (revision coming), to appear in Annals of Math. Studies
• Points on Shimura varieties modulo primes, [chapter], Proc. Int. Cong. Math. 2022, Vol. 3, pp. 1966–1988. EMS Press, Berlin, 2023
• Cohomology of Igusa curves — a survey, [pdf], RIMS Kokyuroku 2204 (2021), pp.166–176
• H⁰ of Igusa varieties via automorphic forms (with Arno Kret), [pdf], [journal], J. Ecole Polytech. Math. 10 (2023), 1299–1390
• Congruences of algebraic automorphic forms and supercuspidal representations (with Jessica Fintzen), appendices by Vytautas Paskunas [C] and Raphael Beuzart-Plessis [D], [arxiv], [pdf], [journal], Camb. J. Math. 9 (2021), no.2, 351–429
• Galois representations for even general special orthogonal groups (with Arno Kret), [arxiv], [journal], J. Inst. Math. Jussieu 23 (2024), no.5, 1959–2050
• Appendix: Base change, in Florian Herzig, Karol Koziol, and Marie-France Vigneras’s paper “On the existence of admissible supersingular representations of p-adic reductive groups”, [pdf], [journal], Forum Math. Sigma 8 (2020), Paper No. e2
• Honda–Tate theory for Shimura varieties (with Mark Kisin and Keerthi Madapusi Pera), [pdf], [journal], Duke Math. J. 171 (2022), no.7, 1559–1614
• Endoscopy and cohomology in a tower of congruence manifolds for U(n,1) (with Simon Marshall), [pdf], [journal], Forum Math. Sigma 7 (2019), Paper No. e19
• Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families (with Julee Kim and Nicolas Templier), [pdf], [journal], Adv. Math. 362 (2020), 106955
• Patching and the p-adic Langlands program for GL(2,Q_p) (with Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, and Vytautas Paskunas), [arxiv], Compos. Math. 154 (2018), no. 3, 503–548
• Galois representations for general symplectic groups (with Arno Kret), [arxiv], [journal], J. Eur. Math. Soc. 25 (2023), no. 1, 75–152
• Asymptotics and local constancy of characters of p-adic groups (with Julee Kim and Nicolas Templier), [pdf], [chapter], Families of automorphic forms and the trace formula, Simons Symposia Book (2016), 259–295
• Endoscopic classification of representations: inner forms of unitary groups (with Tasho Kaletha, Alberto Minguez and Paul-James White), [arxiv], preprint
• Families of L-functions and their symmetry (with Peter Sarnak and Nicolas Templier), [arxiv], [chapter], Families of automorphic forms and the trace formula, Simons Symposia Book (2016), 531–578
• Patching and the p-adic Langlands correspondence (with Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, and Vytautas Paskunas), [arxiv], [journal], Camb. J. Math. 4 (2016), no.2, 197–287
• Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties (with Sara Arias-de-Reyna, Luis Dieulefait, and Gabor Wiese), [pdf], [journal], Math. Ann. 361 (2015), no.3, 909–925
• Appendix: More examples (with Junehyuk Jung), [pdf], in Junehyuk Jung’s paper “On sparsity of positive-definite automorphic forms in a family” [pdf], J. Analyse Math. 129 (2016), no.1, 105–138
• On fields of rationality for automorphic representations (with Nicolas Templier), [pdf], Compositio Math. 150 (2014), no.12, 2003–2053
• Sato-Tate theorem for families and low-lying zeros of automorphic L-functions (with Nicolas Templier) — appendices by Robert Kottwitz [A] and by Raf Cluckers, Julia Gordon, and Immanuel Halupczok [B], [pdf], [journal], Invent. Math. 203 (2016), no.1, 1–177
• Supercuspidal part of the mod l cohomology of GU(1,n-1)-Shimura varieties, [pdf], [journal], J. Reine Angew. Math. 705 (2015), 1–21
• On the cohomology of compact unitary group Shimura varieties at ramified split places (with Peter Scholze), [pdf], [journal], J. Amer. Math. Soc. 26 (2013), no.1, 261–294
• Appendix: On the cohomological base change for unitary similitude groups, [pdf], in Wushi Goldring’s paper “Galois representations associated to holomorphic limits of discrete series I: Unitary Groups”, [journal], Compositio Math. 150 (2014), no.2, 191–228
• Geometric reductive dual pairs and a mod p theta correspondence, [pdf], preprint
• Abelian varieties and the Weil representations, [pdf], [journal], Algebra and Number Theory 6 (2012), no.8, 1719–1772
• Construction of Galois representations: the self-dual case, [pdf], [chapter], Clay summer school 2009 lecture notes, Shimura varieties, 209–250, London Math. Soc. Lecture Note Ser., 457, Cambridge Univ. Press, Cambridge (2020)
• Automorphic Plancherel density theorem, [pdf], [journal], Israel J. Math. 192 (2012), no.1, 83–120
• On the cohomology of Rapoport-Zink spaces of EL-type, [pdf], [journal], Amer. J. Math. 134 (2012), no.2, 407–452
• Galois representations arising from some compact Shimura varieties, [pdf], [journal], Ann. of Math. 173 (2011), no.3, 1645–1741
• Stable trace formula for Igusa varieties, [pdf], [journal], J. Inst. Math. Jussieu, 9 (2010), no.4, 847–895
• Counting points on Igusa varieties, [pdf], [journal], Duke Math. J. 146 (2009), no.3, 509–568

Teaching

• Fall 2025: 254A Number Theory, MWF 9–10
• Fall 2024: 254A Number Theory, MWF 12–1
• Fall 2019: 254A Number Theory, TuTh 11–12:30
• Spring 2019: 270 Hot Topics (global Langlands over function fields), Th 11–12:30
• Fall 2018: 110 Linear Algebra, MWF 12–1
• Spring 2018: 254B Number Theory 2, TuTh 11–12:30
• Fall 2017: 1A Calculus, TuTh 3:30–5; 254A Number Theory 1, TuTh 12:30–2
• Fall 2016: 1A Calculus, TuTh 3:30–5; 250A Algebra, TuTh 12:30–2
• Spring 2016: 1A Calculus, MWF 1–2
• Spring 2015: 254B Number Theory, MWF 12–1

Berkeley RTG in arithmetic geometry and number theory, (old site)

Seminars nearby: MSRI/SLMath colloquia-seminars, MSRI/SLMath workshops, Stanford NT.

Conferences/Workshops I am co-organizing/have co-organized

• BIRS/IASM workshop: Langlands Program: Recent Developments Explained, Jul 4–9, 2027
• Categorial Langlands Summit, KIAS, Jun 15–26, 2026
• BIRS/IASM workshop: New Tools in the Local and Global Langlands Programs, Jul 27–Aug 1, 2025
• PRIMA 2022 special session in algebraic number theory and arithmetic geometry, Dec 5–6, 2022
• KAST International Symposium on periods of automorphic forms (online), Feb 27–28, 2021 // Day 1 [YouTube] Day 2 [YouTube]
• KIAS intensive lecture series on Logarithmic Riemann-Hilbert correspondences for rigid varieties and applications to Shimura varieties, Aug 5–9, 2018
• Simons Symposium: Relative trace formula, Apr 23–27, 2018
• Berkeley Undergraduate Number Theory Conference, Apr 14–15, 2018
• Oberwolfach Workshop: Harmonic Analysis and the Trace Formula, May 21–27, 2017
• The Langlands correspondence in arithmetic and geometry, KIAS, Aug 1–5, 2016
• Simons Symposium: Geometric aspects of the trace formula, Apr 10–16, 2016
• Banff 5-day Half Workshop: Families of automorphic forms and the trace formula, Nov 30–Dec 5, 2014
• Simons Symposium: Families of automorphic forms and the trace formula, Jan 26–Feb 1, 2014
• KIAS Intensive Lecture Series on Shimura Varieties and Rapoport-Zink Spaces, Jan 13–16, 2014
• Workshop on Modular Forms and Galois Representations, KIAS, Jan 2013
• Conference on L-functions, Shineville Resort, Jeju island, Aug 2012
• Cohomology of Shimura varieties: Arithmetic Aspects and the Construction of Galois representations, Fields Institute, Mar 2012
• Rigid Geometry and the Local Langlands Correspondence, KIAS, Jan 2012
• Theta Festival (4th ILJU summer school), Postech, South Korea, Aug 2011
• Congruences of modular forms and Galois representations (2nd ILJU summer school), Postech, South Korea, Jul 2010

Useful info for students in number theory by Matt Emerton

A list of errata for Cassels-Frohlich Algebraic Number Theory (maintained by K. Buzzard)