### Complete Bibliography

[1] : “Intersection triangles and block intersection numbers of Steiner systems,” Math. Z. 139 (June 1974), pp. 87–104. MR 357146 Zbl 0276.05018 article

[2]
:
Arithmetic on elliptic curves with complex multiplication.
Ph.D. thesis,
Harvard University,
1978.
Advised by J. Tate, Jr.
A version of this was published in two parts: part I as a monograph in 1980; part II in *Invent. Math.* **79** (1985).
MR
2940819
phdthesis

[3] : “On the periods of abelian integrals and a formula of Chowla and Selberg,” Invent. Math. 45 : 2 (1978), pp. 193–211. With an appendix by David E. Rohrlich. MR 480542 Zbl 0418.14023 article

[4] : “Some results on the Mordell–Weil group of the Jacobian of the Fermat curve,” Invent. Math. 44 : 3 (1978), pp. 201–224. MR 491708 Zbl 0369.14011 article

[5]
:
“Gauss sums and the __\( p \)__-adic __\( \Gamma \)__-function,”
Ann. Math. (2)
109 : 3
(May 1979),
pp. 569–581.
MR
534763
Zbl
0406.12010
article

[6] : “On an identity of Chowla and Selberg,” pp. 344–348 in S. Chowla anniversary issue, published as J. Number Theory 11 : 3. Issue edited by R. P. Bambah. Academic Press (San Diego, CA), August 1979. MR 544262 Zbl 0418.14024 incollection

[7]
:
“Ramification in __\( p \)__-adic Lie extensions,”
pp. 81–102
in
Journées de géométrie algébrique de Rennes: Groupes formels, représentations galoisiennes et cohomologie des variétés de caractéristique positive, III
[Algebraic geometry proceedings from Rennes: Formal groups, Galois representations and the cohomology of varieties of positive characteristic, III]
(Rennes, France, July 1978).
Edited by P. Berthelot and L. Breen.
Astérisque 65.
Société Mathématique de France (Paris),
1979.
MR
563473
Zbl
0423.14030
incollection

[8] : Arithmetic on elliptic curves with complex multiplication. Lecture Notes in Mathematics 776. Springer (Cham, Switzerland), 1980. With an appendix by B. Mazur. MR 563921 Zbl 0433.14032 book

[9]
:
“On the factorization of __\( p \)__-adic __\( L \)__-series,”
Invent. Math.
57 : 1
(1980),
pp. 83–95.
MR
564185
Zbl
0472.12011
article

[10]
:
“On the critical values of Hecke __\( L \)__-series,”
Mém. Soc. Math. France (N.S.)
2
(1980),
pp. 49–54.
MR
608638
Zbl
0462.14015
article

[11] : “Regulators and Iwasawa modules,” Invent. Math. 62 : 3 (1981), pp. 443–457. With an appendix by Warren Sinnott. MR 604838 Zbl 0468.12005 article

[12] : “Real algebraic curves,” Ann. Sci. École Norm. Sup. (4) 14 : 2 (1981), pp. 157–182. MR 631748 Zbl 0533.14011 article

[13]
:
“__\( p \)__-adic __\( L \)__-series at __\( s = 0 \)__,”
J. Fac. Sci. Univ. Tokyo Sect. IA Math.
28 : 3
(1981),
pp. 979–994.
To the memory of Takuro Shintani.
MR
656068
Zbl
0507.12010
article

[14] : “The annihilation of divisor classes in Abelian extensions of the rational function field” in Séminaire de Théorie des Nombres, 1981–1982 (Bordeaux, France, 1980–1981). Edited by M. J. Bertin. Séminaire de Théorie des Nombres, Université Bordeaux I. Université Bordeaux, 1981. Exposé no. 3, 5 pages. Zbl 0507.14020 incollection

[15] : “Topological invariants of real algebraic curves” (Grenoble, France, January 1981). Séminaire de Théorie des Nombres de Grenoble 9: 1980–1981. Université Scientifique et Médicale de Grenoble, 1981. Exposé no. 2, 2 pages. Zbl 0508.14022 incollection

[16] : “Algebraic Hecke characters for function fields,” pp. 87–90 in Theorie des nombres: Seminaire Delange–Pisot–Poitou (Paris, 1980–1981). Progress in Mathematics 22. Birkhäuser (Cham, Switzerland), 1982. MR 693312 Zbl 0512.12012 incollection

[17]
:
“Heegner points on __\( X_0(11) \)__”
in
Séminaire de Théorie des Nombres, 1981–1982
(Bordeaux, France, 1981–1982).
Edited by M. J. Bertin.
Séminaire de Théorie des Nombres, Université Bordeaux I.
Université Bordeaux,
1982.
Exposé no. 34, 5 pages.
MR
695347
Zbl
0514.14017
incollection

[18] : “Minimal models for elliptic curves with complex multiplication,” Compositio Math. 45 : 2 (1982), pp. 155–164. MR 651979 Zbl 0541.14010 article

[19] : “On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication,” pp. 219–236 in Number theory related to Fermat’s last theorem: Proceedings of the conference sponsored by the Vaughn Foundation (Cambridge, MA, September 1981). Edited by N. Koblitz. Progress in Mathematics 26. Birkhäuser (Boston), 1982. MR 685298 Zbl 0506.14040 incollection

[20]
:
“Points de Heegner et dérivées de fonctions __\( L \)__”
[Heegner points and derivatives of __\( L \)__-functions],
C. R. Acad. Sci., Paris, Sér. I
297
(1983),
pp. 85–87.
With English summary.
An expanded version of this was published in *Invent. Math.* **84** (1986).
MR
720914
Zbl
0538.14023
article

[21]
:
“Heegner points on __\( X_0(N) \)__,”
pp. 87–105
in
Modular forms: Contributions to a symposium on modular forms of one and several variables
(Durham, UK, 30 June–10 July 1983).
Edited by R. A. Rankin.
Ellis Horwood Series in Mathematics and its Applications.
Ellis Horwood Limited (Chichester, UK),
1984.
MR
803364
Zbl
0559.14011
incollection

[22] : “On singular moduli,” J. Reine Angew. Math. 355 (1985), pp. 191–220. Dedicated to J.-P. Serre. MR 772491 Zbl 0545.10015 article

[23]
:
“Arithmetic on elliptic curves with complex multiplication, II,”
Invent. Math.
79 : 1
(1985),
pp. 11–29.
Part I was Gross’s 1980 *LNM* monograph. Both parts appear to be based on his 1978 PhD thesis.
MR
774527
Zbl
0584.14027
article

[24]
:
“On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of __\( \operatorname{rank} 3 \)__,”
Math. Comput.
44 : 170
(April 1985),
pp. 473–481.
MR
777279
Zbl
0606.14021
article

[25]
:
“The Eisenstein descent on __\( J_0(N) \)__,”
Invent. Math.
83 : 2
(June 1986),
pp. 303–319.
MR
818355
Zbl
0594.14027
article

[26]
:
“Heegner points and derivatives of __\( L \)__-series,”
Invent. Math.
84
(1986),
pp. 225–320.
To John Tate.
This work expands on a short note published in *C. R. Acad. Sci., Paris* **297** (1983). Part II was published in *Math. Ann.* **278** (1987).
MR
833192
Zbl
0608.14019
article

[27] : “On canonical and quasi-canonical liftings,” Invent. Math. 84 : 2 (June 1986), pp. 321–326. MR 833193 Zbl 0597.14044 article

[28] : “Local heights on curves,” pp. 327–339 in Arithmetic geometry (Storrs, CT, 30 July–10 August 1984). Edited by G. Cornell and J. H. Silverman. Springer (New York), 1986. MR 861983 Zbl 0605.14027 incollection

[29] : “Heegner points and the modular curve of prime level,” J. Math. Soc. Japan 39 : 2 (April 1987), pp. 345–362. MR 879933 Zbl 0623.14010 article

[30]
:
“Representation theory and the cuspidal group of __\( X(p) \)__,”
Duke Math. J.
54 : 1
(1987),
pp. 67–75.
To Yu. I. Manin.
MR
885776
Zbl
0629.14021
article

[31]
:
“Heights and the special values of __\( L \)__-series,”
pp. 115–187
in
Number theory
(Montreal, 17–29 June 1985).
Edited by H. Kisilevsky and J. Labute.
CMS Conference Proceedings 7.
American Mathematical Society (Providence, RI),
1987.
MR
894322
Zbl
0623.10019
incollection

[32]
:
“Heegner points and derivatives of __\( L \)__-series, II,”
Math. Ann.
278
(1987),
pp. 497–562.
Part I was published in *Inventiones Mathematicae* **84** (1986).
MR
909238
Zbl
0641.14013
article

[33]
:
“Heights and __\( L \)__-series,”
pp. 425–433
in
Proceedings of the International Congress of Mathematicians
(Berkeley, CA, 3–11 August 1986),
vol. 1.
Edited by A. M. Gleason.
American Mathematical Society (Providence, RI),
1987.
MR
934242
Zbl
0665.14010
incollection

[34]
:
“On the values of abelian __\( L \)__-functions at __\( s = 0 \)__,”
J. Fac. Sci., Univ. Tokyo, Sect. I A
35 : 1
(1988),
pp. 177–197.
MR
931448
Zbl
0681.12005
article

[35]
:
“Fourier series and the special values of __\( L \)__-functions,”
Adv. Math.
69 : 1
(May 1988),
pp. 1–31.
MR
937316
Zbl
0649.12009
article

[36] : “Local orders, root numbers, and modular curves,” Am. J. Math. 110 : 6 (December 1988), pp. 1153–1182. MR 970123 Zbl 0675.12011 article

[37]
:
“__\( p \)__-adic heights on curves,”
pp. 73–81
in
Algebraic number theory: In honor of K. Iwasawa
(Berkeley, CA, 20–24 January 1987).
Edited by J. Coates.
Advanced Studies in Pure Mathematics 17.
Academic Press (Boston),
1989.
MR
1097610
Zbl
0758.14009
incollection

[38] : “Group representations and lattices,” J. Am. Math. Soc. 3 : 4 (October 1990), pp. 929–960. MR 1071117 Zbl 0745.11035 article

[39]
:
“A tameness criterion for Galois representations associated to modular forms mod __\( p \)__,”
Duke Math. J.
61 : 2
(1990),
pp. 445–517.
MR
1074305
Zbl
0743.11030
article

[40] : “Some applications of Gel’fand pairs to number theory,” Bull. Am. Math. Soc., New Ser. 24 : 2 (1991), pp. 277–301. MR 1074028 Zbl 0733.11018 article

[41]
:
“Kolyvagin’s work on modular elliptic curves,”
pp. 235–256
in
__\( L \)__-functions and arithmetic
(Durham, UK, 30 June–11 July 1989).
Edited by J. Coates and M. J. Taylor.
London Mathematical Society Lecture Note Series 153.
Cambridge University Press,
1991.
MR
1110395
Zbl
0743.14021
incollection

[42] : “Test vectors for linear forms,” Math. Ann. 291 : 2 (1991), pp. 343–355. MR 1129372 Zbl 0768.22004 article

[43]
:
“Heights and the central critical values of triple product __\( L \)__-functions,”
Compos. Math.
81 : 2
(1992),
pp. 143–209.
MR
1145805
Zbl
0807.11027
article

[44] : “Elliptic curves and modular forms,” pp. 85–88 in Mathematics into the twenty-first century (Providence, RI, 8–12 August 1988). Edited by F. E. Browder. American Mathematical Society (Providence, RI), 1992. MR 1184615 Zbl 1011.11503 incollection

[45]
:
“On the decomposition of a representation of __\( \mathrm{SO}_n \)__ when restricted to __\( \mathrm{SO}_{n-1} \)__,”
Can. J. Math.
44 : 5
(1992),
pp. 974–1002.
MR
1186476
Zbl
0787.22018
article

[46] : “On the intersection of modular correspondences,” Invent. Math. 112 : 2 (1993), pp. 225–245. MR 1213101 Zbl 0811.11026 article

[47] : “The rigid analytic period mapping, Lubin–Tate space, and stable homotopy theory,” Bull. Am. Math. Soc., New Ser. 30 : 1 (1994), pp. 76–86. MR 1217353 Zbl 0857.55003 article

[48] : “A remark on tube domains,” Math. Res. Lett. 1 : 1 (1994), pp. 1–9. MR 1258484 Zbl 0873.32032 article

[49] : “Equivariant vector bundles on the Lubin–Tate moduli space,” pp. 23–88 in Topology and representation theory (Evanston, IL, 1–5 May 1992). Edited by E. M. Friedlander and M. E. Mahowald. American Mathematical Society (Providence, RI), 1994. MR 1263712 Zbl 0807.14037 incollection

[50]
:
“__\( L \)__-functions at the central critical point,”
pp. 527–535
in
Motives
(Seattle, WA, 20 July–2 August 1991).
Edited by J.-P. Serre, S. Kleiman, and U. Jannsen.
American Mathematical Society (Providence, RI),
1994.
MR
1265543
Zbl
0807.14015
incollection

[51]
:
“On irreducible representations of __\( \mathrm{SO}_{2n+1}\times \mathrm{SO}_{2m} \)__,”
Can. J. Math.
46 : 5
(1994),
pp. 930–950.
MR
1295124
Zbl
0829.22031
article

[52]
:
“A distinguished family of unitary representations for the exceptional groups of real rank __\( = 4 \)__,”
pp. 289–304
in
Lie theory and geometry: In honor of Bertram Kostant on the occasion of his 65th birthday
(Cambridge, MA, May 1993).
Edited by J.-L. Brylinski, R. Brylinski, V. Guillemin, and V. Kac.
Birkhäuser (Boston),
1994.
MR
1327538
Zbl
0839.22006
incollection

[53] : “The modified diagonal cycle on the triple product of a pointed curve,” Ann. Inst. Fourier 45 : 3 (1995), pp. 649–679. MR 1340948 Zbl 0822.14015 article

[54]
:
“Groups over __\( \mathbb{Z} \)__,”
Invent. Math.
124 : 1–3
(1996),
pp. 263–279.
To Reinhold Remmert.
MR
1369418
Zbl
0846.20049
article

[55] : “The exceptional cone and the Leech lattice,” Int. Math. Res. Not. 1996 : 14 (July 1996), pp. 665–698. MR 1411589 Zbl 0863.11027 article

[56] : “On quaternionic discrete series representations, and their continuations,” J. Reine Angew. Math. 1996 : 481 (1996), pp. 73–123. MR 1421947 Zbl 0857.22012 article

[57]
:
“The dual pair __\( \mathrm{PGL}_3 \times \mathrm{G}_2 \)__,”
Can. Math. Bull.
40 : 3
(1997),
pp. 376–384.
MR
1464847
Zbl
0881.22010
article

[58] : “On the motive of a reductive group,” Invent. Math. 130 : 2 (1997), pp. 287–313. MR 1474159 Zbl 0904.11014 article

[59]
:
“On the motive of __\( G \)__ and the principal homomorphism __\( \mathrm{SL}_2 \to \hat{G} \)__,”
Asian J. Math.
1 : 1
(1997),
pp. 208–213.
MR
1480995
Zbl
0942.20031
article

[60] : “Embeddings into the integral octonions,” pp. 147–158 in Olga Taussky-Todd: In memoriam, published as Pac. J. Math. 181 : 3. Issue edited by M. Aschbacher, D. Blasius, and D. Ramakrishnan. International Press (Cambridge, MA), 1997. MR 1610847 Zbl 0981.11036 incollection

[61] : “The Weyl character formula, the half-spin representations, and equal rank subgroups,” Proc. Natl. Acad. Sci. USA 95 : 15 (July 1998), pp. 8441–8442. MR 1639139 Zbl 0918.17002 article

[62]
:
“Modular forms mod __\( p \)__ and Galois representations,”
Int. Math. Res. Not.
1998 : 16
(1998),
pp. 865–875.
MR
1643625
Zbl
0978.11018
article

[63]
:
“Motives with Galois group of type __\( \mathrm{G}_2 \)__: An exceptional theta-correspondence,”
Compos. Math.
114 : 2
(1998),
pp. 153–217.
MR
1661756
Zbl
0931.11015
article

[64] : “On the Satake isomorphism,” pp. 223–237 in Galois representations in arithmetic algebraic geometry (Durham, UK, 9–18 July 1996). Edited by A. J. Scholl and R. L. Taylor. Cambridge University Press, 1998. MR 1696481 Zbl 0996.11038 incollection

[65] : “Haar measure and the Artin conductor,” Trans. Am. Math. Soc. 351 : 4 (1999), pp. 1691–1704. MR 1458303 Zbl 0991.20033 article

[66] : “Commutative subrings of certain non-associative rings,” Math. Ann. 314 : 2 (1999), pp. 265–283. MR 1697445 Zbl 0990.11018 article

[67] : “Algebraic modular forms,” Israel J. Math. 113 (December 1999), pp. 61–93. MR 1729443 Zbl 0965.11020 article

[68]
:
“On simply-connected groups over __\( \mathbf{Z} \)__, with __\( G(\mathbf{R}) \)__ compact,”
pp. 113–118
in
Integral quadratic forms and lattices: Dedicated to the memory of Dennis Ray Estes
(Seoul, 15–19 June 1998).
Edited by M.-H. Kim, J. S. Hsia, Y. Kitaoka, and R. Schulze-Pillot.
Contemporary Mathematics 249.
American Mathematical Society (Providence, RI),
1999.
MR
1732354
Zbl
0969.20023
incollection

[69] : “Restriction of small discrete series representations to symmetric subgroups,” pp. 255–272 in The mathematical legacy of Harish-Chandra: A celebration of representation theory and harmonic analysis (Baltimore, MD, 9–10 January 1998). Edited by R. S. Doran and V. S. Varadarajan. Proceedings of Symposia in Pure Mathematics 68. American Mathematical Society (Providence, RI), 2000. MR 1767899 Zbl 0960.22008 incollection

[70] : “Integral embeddings of cubic norm structures,” J. Algebra 233 : 1 (November 2000), pp. 363–397. To Nathan Jacobson, in memoriam. MR 1793601 Zbl 0990.11017 article

[71]
:
“On minuscule representations and the principal __\( \mathrm{SL}_2 \)__,”
Represent. Theory
4
(2000),
pp. 225–244.
MR
1795753
Zbl
0986.22011
article

[72] : “Cubic rings and the exceptional Jordan algebra,” Duke Math. J. 109 : 2 (2001), pp. 383–409. MR 1845183 Zbl 1028.11041 article

[73]
:
“Fourier coefficients of modular forms on __\( G_2 \)__,”
Duke Math. J.
115 : 1
(2002),
pp. 105–169.
MR
1932327
Zbl
1165.11315
article

[74] : “Automorphisms of even unimodular lattices and unramified Salem numbers,” J. Algebra 257 : 2 (November 2002), pp. 265–290. Dedicated to J. G. Thompson on his 70th birthday. MR 1947324 Zbl 1022.11016 article

[75] : “On the exceptional series, and its descendants,” C. R. Math. Acad. Sci. Paris 335 : 11 (2002), pp. 877–881. With French summary. MR 1952563 Zbl 1017.22008 article

[76] : “Unramified reciprocal polynomials and Coxeter decompositions,” Mosc. Math. J. 2 : 4 (October–December 2002), pp. 681–692. Dedicated to Yuri I. Manin on the occasion of his 65th birthday. MR 1986086 Zbl 1136.11313 article

[77] : “Some remarks on signs in functional equations,” Ramanujan J. 7 : 1–3 (2003), pp. 91–93. In memory of Robert A. Rankin. MR 2035794 Zbl 1057.11052 article

[78] : “Globally maximal arithmetic groups,” J. Algebra 272 : 2 (February 2004), pp. 625–642. MR 2028074 Zbl 1113.20040 article

[79] : “On some geometric constructions related to theta characteristics,” pp. 279–311 in Contributions to automorphic forms, geometry, and number theory: Papers from the conference in honor of Joseph Shalika on the occasion of his 60th birthday (Baltimore, MD, 14–17 May 2002). Edited by H. Hida, D. Ramakrishnan, and F. Shahidi. Johns Hopkins University Press (Baltimore, MD), 2004. MR 2058611 Zbl 1072.14032 incollection

[80]
:
“Correspondence,”
pp. 11–23
in
Heegner points and Rankin __\( L \)__-series
(Berkeley, CA, December 2001).
Edited by H. Darmon and S.-W. Zhang.
MSRI Publications 49.
Cambridge University Press,
2004.
MR
2083208
Zbl
1073.11002
incollection

[81]
:
“Heegner points and representation theory,”
pp. 37–65
in
Heegner points and Rankin __\( L \)__-series
(Berkeley, CA, December 2001).
Edited by H. Darmon and S.-W. Zhang.
MSRI Publications 49.
Cambridge University Press,
2004.
MR
2083210
Zbl
1126.11032
incollection

[82] : The magic of numbers. Prentice Hall (Upper Saddle River, NJ), 2004. Zbl 1121.00004 book

[83] : “An elliptic curve test for Mersenne primes,” J. Number Theory 110 : 1 (January 2005), pp. 114–119. MR 2114676 Zbl 1074.11065 article

[84] : “On the Euler characteristic of the discrete spectrum,” J. Number Theory 110 : 1 (January 2005), pp. 136–163. MR 2114678 Zbl 1080.11041 article

[85] : “On the centralizer of a regular, semi-simple, stable conjugacy class,” Represent. Theory 9 (2005), pp. 287–296. MR 2133761 Zbl 1107.20034 article

[86]
:
“Computing weight 2 modular forms of level __\( p^2 \)__,”
Math. Comput.
74 : 251
(2005),
pp. 1545–1557.
With an appendix by B. Gross.
MR
2137017
Zbl
1093.11027
article

[87]
:
“On the values of Artin __\( L \)__-functions,”
Q. J. Pure Appl. Math.
1 : 1
(2005),
pp. 1–13.
MR
2154331
Zbl
1169.11050
article

[88] : “From Laplace to Langlands via representations of orthogonal groups,” Bull. Am. Math. Soc. (N.S.) 43 : 2 (2006), pp. 163–205. MR 2216109 Zbl 1159.11047 article

[89] : “Cyclotomic factors of Coxeter polynomials,” J. Number Theory 129 : 5 (May 2009), pp. 1034–1043. MR 2516970 Zbl 1183.11065 article

[90] : “On cubic rings and quaternion rings,” J. Number Theory 129 : 6 (2009), pp. 1468–1478. MR 2521487 Zbl 1166.11034 article

[91] : “A rigid irregular connection on the projective line,” Ann. Math. (2) 170 : 3 (2009), pp. 1469–1512. MR 2600880 Zbl 1209.14017 article

[92] : “The arithmetic of elliptic curves — an update,” Arab. J. Sci. Eng. ASJE. Math. 34 : 1D (2009), pp. 95–103. MR 2792223 Zbl 1229.11088 article

[93]
:
“Rigid local systems on __\( \mathbb{G}_m \)__ with finite monodromy,”
Adv. Math.
224 : 6
(August 2010),
pp. 2531–2543.
MR
2652215
Zbl
1193.22001
article

[94] : “Arithmetic invariants of discrete Langlands parameters,” Duke Math. J. 154 : 3 (September 2010), pp. 431–508. MR 2730575 Zbl 1207.11111 article

[95] : “Irreducible cuspidal representations with prescribed local behavior,” Am. J. Math. 133 : 5 (2011), pp. 1231–1258. MR 2843098 Zbl 1228.22017 article

[96]
:
“Lectures on the conjecture of Birch and Swinnerton-Dyer,”
pp. 169–209
in
Arithmetic of __\( L \)__-functions
(Park City, UT, 28 June–18 July 2009).
Edited by C. Popescu, K. Rubin, and A. Silverberg.
IAS/Park City Mathematics Series 18.
American Mathematical Society (Providence, RI),
2011.
MR
2882691
Zbl
1285.11096
incollection

[97] : “On the Hilbert polynomials and Hilbert series of homogeneous projective varieties,” pp. 253–263 in Arithmetic geometry and automorphic forms: Festschrift dedicated to Stephen Kudla on the occasion of his 60th birthday. Edited by J. Cogdell, J. Funke, M. Rapoport, and T. Yang. Advanced Lectures in Mathematics 19. International Press (Somerville, MA), 2011. MR 2906911 Zbl 1310.14044 incollection

[98] : “On Bhargava’s representation and Vinberg’s invariant theory,” pp. 317–321 in Frontiers of mathematical sciences. Edited by B. Gu and S.-T. Yau. International Press (Somerville, MA), 2011. MR 3050830 incollection

[99] : “On the local divisibility of Heegner points,” pp. 215–241 in Number theory, analysis and geometry: In memory of Serge Lang. Edited by D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K. Ribet, and J. Tate. Springer (Berlin), 2012. MR 2867919 Zbl 1276.11091 incollection

[100] : “The classes of singular moduli in the generalized Jacobian,” pp. 137–141 in Geometry and arithmetic (Schiermonnikoog, Netherlands, 20–24 September 2010). Edited by C. Faber, G. Farkas, and R. de Jong. EMS Series of Congress Reports. European Mathematical Society (Zürich), 2012. MR 2987658 Zbl 1317.11047 incollection

[101] : “Gradings of positive rank on simple Lie algebras,” Transform. Groups 17 : 4 (2012), pp. 1123–1190. MR 3000483 Zbl 1310.17017 ArXiv 1307.5765 article

[102] Sur les conjectures de Gross et Prasad, I. Edited by W. T. Gan, B. H. Gross, D. Prasad, and J.-L. Waldspurger. Astérisque 346. Société Mathématique de France (Paris), 2012. MR 3052279 Zbl 1257.22001 book

[103] : “Hanoi lectures on the arithmetic of hyperelliptic curves,” Acta Math. Vietnam. 37 : 4 (2012), pp. 579–588. MR 3058664 Zbl 1294.11107 article

[104]
:
“Symplectic local root numbers, central critical __\( L \)__ values, and restriction problems in the representation theory of classical groups,”
pp. 1–109
in
Sur les conjectures de Gross et Prasad, I
[The conjectures of Gross and Prasad, I].
Edited by W. T. Gan, B. H. Gross, D. Prasad, and J.-L. Waldspurger.
Astérisque 346.
Société Mathématique de France (Paris),
2012.
MR
3202556
Zbl
1280.22019
ArXiv
0909.2999
incollection

[105] : “Restrictions of representations of classical groups: Examples,” pp. 111–170 in Sur les conjectures de Gross et Prasad, I [The conjectures of Gross and Prasad, I]. Edited by W. T. Gan, B. H. Gross, D. Prasad, and J.-L. Waldspurger. Astérisque 346. Société Mathématique de France (Paris), 2012. with French summary. MR 3202557 Zbl 1279.22023 ArXiv 0909.2993 incollection

[106]
:
“Trivial __\( L \)__-functions for the rational function field,”
J. Number Theory
133 : 3
(March 2013),
pp. 970–976.
MR
2997780
Zbl
1318.11147
article

[107]
:
“The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point,”
pp. 23–91
in
Automorphic representations and __\( L \)__-functions
(Mumbai, 3–11 January 2012).
Edited by D. Prasad, C. S. Rajan, A. Sankaranarayanan, and J. Sengupta.
Tata Institute of Fundamental Research Studies in Mathematics 22.
Tata Institute of Fundamental Research (Mumbai),
2013.
MR
3156850
Zbl
1303.11072
ArXiv
1208.1007
incollection

[108]
:
“Arithmetic invariant theory,”
pp. 33–54
in
Symmetry: Representation theory and its applications. In honor of Nolan R. Wallach.
Edited by R. E. Howe, M. Hunziker, and J. F. Willenbring.
Progress in Mathematics 257.
Springer (Cham, Switzerland),
2014.
Part II was published in *Progress in Mathematics* **312** (2015).
MR
3363006
Zbl
1377.11045
ArXiv
1206.4774
incollection

[109] : “The work of Manjul Bhargava,” pp. 56–63 in Proceedings of the International Congress of Mathematicians (Seoul, 13–21 August 2014), vol. 1: Plenary lectures and ceremonies. Edited by S. Y. Jang, Y. R. Kim, D.-W. Lee, and I. Yie. Kyung Moon Sa (Seoul), 2014. MR 3728462 Zbl 1373.11003 incollection

[110]
:
“Benedict Gross: Elliptic curves, Millennium Problem,”
published as Imprints
26
(2015).
Reprinted in *The art and practice of mathematics* (2021).
incollection

[111]
:
“Arithmetic invariant theory, II: Pure inner forms and obstructions to the existence of orbits,”
pp. 139–171
in
Representations of reductive groups: In honor of the 60th birthday of David A. Vogan, Jr.
(Cambridge, MA, 19–23 May 2014).
Edited by M. Nevins and P. E. Trapa.
Progress in Matematics 312.
Springer (Cham, Switzerland),
2015.
Part I was published in *Progress in Mathematics* **257** (2014).
MR
3495795
Zbl
1377.11046
ArXiv
1310.7689
incollection

[112]
:
“On the Langlands correspondence for symplectic motives,”
Izv. Ross. Akad. Nauk Ser. Mat.
80 : 4
(2016),
pp. 678–692.
English translation of Russian original published in *Izv. Ross. Akad. Nauk Ser. Mat.* **80**:4 (2016).
MR
3535358
Zbl
1391.11075
article

[113] : “Lattices and applications in number theory,” Oberwolfach Rep. 13 : 1 (2016), pp. 87–154. Abstracts from workshop held in Oberwolfach, Germany, 17–23 January 2016. MR 3586050 Zbl 1380.00058 article

[114]
:
“A positive proportion of locally soluble hyperelliptic curves over __\( \mathbb{Q} \)__ have no point over any odd degree extension,”
J. Am. Math. Soc.
30 : 2
(2017),
pp. 451–493.
With an appendix by Tim Dokchitser and Vladimir Dokchitser.
MR
3600041
Zbl
1385.11043
ArXiv
1310.7692
article

[115] : “On Hecke’s decomposition of the regular differentials on the modular curve of prime level,” Res. Math. Sci. 5 : 1 (2018). Paper no. 1, 19 pages. MR 3749283 Zbl 1455.11083 article

[116] : Fat chance: Probability from 0 to 1. Cambridge University Press, 2019. MR 3931738 Zbl 1423.00005 book

[117] : “A short note on S.-T. Yau,” pp. 46 in Celebrating Shing-Tung Yau on his 70th birthday, published as ICCM Not. 7 : 1. Issue edited by S.-Y. Cheng, L. Ji, and H. X. Xiaokui Yang. International Press (Somerville, MA), 2019. MR 3960553 incollection

[118] : “Appendix 3: Questions in arithmetic algebraic geometry,” pp. 295–331 in Open problems in arithmetic algebraic geometry. Edited by F. Oort. Advanced Lectures in Mathematics 46. International Press (Somerville, MA), 2019. MR 3971189 Zbl 1428.14005 incollection

[119] : Simple supercuspidals and the Langlands correspondence. Preprint, May 2020. ArXiv 2005.09078 techreport

[120] : “Branching laws for classical groups: The non-tempered case,” Compos. Math. 156 : 11 (2020), pp. 2298–2367. MR 4190046 Zbl 1470.11126 ArXiv 1911.02783 article

[121] : “On the periods of Abelian varieties,” ICCM Not. 8 : 2 (2020), pp. 10–18. MR 4245911 Zbl 1475.11121 ArXiv 2005.04194 article

[122] : “Memorial article for John Tate.” Edited by B. Mazur and K. Ribet. Notices Am. Math. Soc. 68 : 5 (2021), pp. 768–781. MR 4249436 Zbl 1470.01012 article

[123] : “Minuscule embeddings,” pp. 987–1004 in Special issue to the memory of T. A. Springer, published as Indag. Math. (N.S.) 32 : 5. Issue edited by G. Cornelissen and E. Opdam. Elsevier (Amsterdam), September 2021. MR 4310010 Zbl 07394423 incollection

[124]
:
“Benedict Gross: Elliptic curves, Millennium Problem,”
pp. 131–140
in
The art and practice of mathematics: Interviews at the Institute for Mathematical Sciences, National University of Singapore, 2010–2019.
World Scientific (Singapore),
2021.
Interview conducted on 19 March 2012.
Originally published in *Imprints* **26** (2015).
Zbl
1473.01034
incollection

[125] : “Incoherent definite spaces and Shimura varieties,” pp. 187–215 in Relative trace formulas (Schloss Elmau, Germany, 22–28 April 2018). Edited by W. Müller, S. W. Shin, and N. Templier. Simons Symposia. Springer (Cham, Switzerland), 2021. Zbl 1475.11124 ArXiv 2005.05188 incollection

[126] : Twisted GGP problems and conjectures. Preprint, April 2022. ArXiv 2204.10108 techreport