Lectures given at conferences

Der Satz von MordellWeil via Methoden der Nonstandard Analysis.
[The Theorem of MordellWeil via methods of nonstandard analysis]
Modelltheorie (Anwendung der Modelltheorie auf die Zahlentheorie),
Oberwolfach, 915 January 1977.
{Tagungsbericht Oberwolfach 2/1977, p. 4}.
 The Theorem of MordellWeil via Nonstandard Methods.
Algebraische Zahlentheorie (H. Hasse, P. Roquette), Oberwolfach,
1420 August 1977.
{Tagungsbericht Oberwolfach 33/1977,
p. 16}.
 Nonstandard Diophantine Geometry.
Recent Developments in Number Theory (P. Ribenboim), Queen's
University, Kingston, Ontario; 220 July 1979.
{Queen's Papers in Pure & Applied Math. 54 (1980), pp. 129172}.
 Über rationale Punkte auf Kurven von Geschlecht g \ge 2
(Satz von Mumford).
[On rational points on curves of genus g \ge 2
(Theorem of Mumford)]
Algebraische Zahlentheorie (H. Hasse, P. Roquette), Oberwolfach,
1218 August 1979.
{Tagungsbericht Oberwolfach 34/1979, pp. 78}.
 Nonstandard Methods in Diophantine Geometry.
Journées Arithmétiques 1980 (R. Odoni), Exeter, England,
1319 April 1980.
{London Math. Society Lecture Notes No. 56 (1982), pp. 417449}.
 Die Mumfordsche Theorie der Thetafunktionen.
[Mumford's theory of theta functions]
AG GeyerHarder: Die Vermutungen von Hodge und Tate
(R.P. Langlands, M. Rapoport), Oberwolfach, 1218 April 1981.
{Tagungsbericht Oberwolfach 17/1981, pp. 67}.
 The number of nonrational subfields of a function field.
Algebraische Zahlentheorie (W. Jehne, H. W. Leopoldt, P.
Roquette), Oberwolfach, 915 August 1981.
{Tagungsbericht Oberwolfach 35/1981, p. 11}.
 Thetafunktionen mehrerer Variablen.
[Theta functions of several variables]
AG GeyerHarder: padische Uniformisierung (L. Gerritzen,
M. van der Put), Oberwolfach, 1217 April 1982.
{Tagungsbericht Oberwolfach 15/1982, pp. 34}.
 Height pairings on curves.
Conference on the Theory of Numbers, University of Alberta,
Edmonton, 2830 April 1983.
{Rocky Mt. J. 15 (1985), pp. 417449}.
 ``Real  analytic'' functions on nonarchimedean curves.
padic Function Theory and Analysis (Y. Amice, L. Gerritzen),
Oberwolfach, 1016 February 1985.
{Tagungsbericht Oberwolfach 9/1985, pp. 19}.
 Height pairings on curves.
Journées arithmétiques, Besançon (France),
2428 June 1985.
 Arithmetische Flächen and Potentialtheorie.
[Arithmetic surfaces and potential theory]
Algebraische Zahlentheorie (W. Jehne, H.W. Leopoldt, P. Roquette),
Oberwolfach, 39 August 1986.
{Tagungsbericht Oberwolfach 35/1986, pp. 1416}.
 Idempotent relations and factors of Jacobians.
78th Ontario Math Meeting, Toronto, 7 February 1987.
 Potential theory on curves.
International Number Theory Conference
(J.M. De Koninck, C. Levesque), Québec, 518 July 1987.
{Théorie des Nombres/Number Theory, W. de Gruyter, Berlin, 1989,
pp. 475543}.
 Potential theory on curves.
OSU  Denison Mathematics Conference
(J. S. Hsia), Denison OH, USA, 2627 February 1988.
 Idempotent relations and invariants of algebraic varieties.
First Conference of the Canadian Number Theory Association
(R. A. Mollin), Banff, 1727 April 1988.
 Arithmetic intersection theory.
Algebraische Zahlentheorie (W. Jehne, H.W. Leopoldt, P. Roquette),
Oberwolfach, Germany, 713 August 1988.
{Tagungsbericht Oberwolfach, 35/1988, p. 10}.
 Green's functions on nonarchimedean Riemann surfaces.
AMS Meeting, Special Session on Arithmetic Intersection Theory.
(H. Gillet), Chicago, 1920 May 1989.
 Green's functions on nonarchimedean Riemann surfaces.
padic Analysis (F. Baldassarri, B. Dwork, S. Bosch),
Trento, Italy, 28 May  3 June 1989.
 Curves of genus two with reducible Jacobians.
Second Conference of the Canadian Number Theory Association
(D. Boyd), Vancouver, 2026 August 1989.
 Kurven vom Geschlecht 2 mit elliptischen Differentialen.
[Curves of genus 2 with elliptic differentials]
Algebraische Zahlentheorie (W. Jehne, H. W. Leopoldt,
P. Roquette), Oberwolfach, Germany, 1218, August 1990.
{Tagungsbericht Oberwolfach, 34/1990, pp. 78}.
 Curves of genus 2 with elliptic differentials and the Height Conjecture
for elliptic curves.
Conference on Finiteness Theorems in Number Theory (G. Frey),
Essen, Germany, 1215 March 1991.
{Inst. Exp. Math. Essen, Preprint No. 181991, pp. 3039}.
See also
Errata et Addenda.
 Ends of metric spaces and arithmetic intersection theory.
Algebraische Zahlentheorie (G. Frey, H.W. Leopoldt, P. Roquette),
Oberwolfach, 28 August 1992.
{Tagungsbericht Oberwolfach, 34/1992, pp. 1213}.
 Abelian varieties over
C and Thetadivisors.
Advanced Workshop on Arithmetic Algebraic Geometry (A. Assadi,
U. Jannsen, N. Schappacher), International Centre for Theoretical
Physics, Trieste, Italy, 31 August  11 September 1992.
{ICTP Lecture Notes SMR. 637/34, 47 pp.}.
 Discriminants and regulator relations.
Conference on Algebra and Number Theory (G. Frey, J. Ritter,
H. Stichtenoth, E. Viehweg) Essen, Germany, 24 December 1992.
{Algebra & Number Theory, W. de Gruyter, 1994, pp. 43135}.
 Hermitian R[G]modules and class number relations.
Seaway Number Theory Conference, University of Toronto, Toronto,
Ontario, 2829 May 1993.
 The Noether formula.
Advanced Workshop on Arithmetic Algebraic Geometry II,
Ain Shams University, Cairo, Egypt, 415 September 1993.
Lecture Notes (distributed to conference participants)
 Heights on abelian varieties and the theorem of MordellWeil.
Advanced Workshop on Arithmetic Algebraic Geometry II,
Ain Shams University, Cairo, Egypt, 415 September 1993.
Lecture Notes (distributed to conference participants)
 Conjectural applications of arithmetic surfaces to number
theory.
Advanced Workshop on Arithmetic Algebraic Geometry II,
Ain Shams University, Cairo, Egypt, 415 September 1993.
Lecture Notes (distributed to conference participants)
 Hermitian ZGmodules and Brauer's Class Number Relation.
Conference on Lfunctions (M. Kolster, V. Snaith),
The Fields Institute, Waterloo, Ontario, 2125 March 1994.
 Curves with elliptic differentials and the height conjecture for
elliptic curves.
Arithmetic Algebraic Geometry (A. Parshin, L. Szpiro),
Luminy, France, 2228 May 1994.
 Curves of genus 2 and the height conjecture for elliptic curves.
International Conference on Arakelov Theory (U. Jannsen,
N. Schappacher), MaxPlanck Institute, Bonn, Germany,
17 June 1994.
{MaxPlanck Institute Preprints No. 199450, 3pp.}.
 Homology theory of Riemann surfaces.
AG Oberwolfach on Boundedness of Torsion of Elliptic Curves
over Number Fields (G. Frey, L. Merel), Oberwolfach, Germany,
915 October 1994.
{Tagungsbericht Oberwolfach 43/1994, p. 12}.
 Modular Galois representations and curves of genus 2.
Seaway Number Theory Conference (K. Williams),
Carleton University, Ottawa, 910 June 1995.
 The construction of genus 2 covers of elliptic curves.
Galois Workshop (D. Harbater), University of Pennsylvania,
Philadelphia, USA, 2022 October 1995.
 Diagonal quotient surfaces.
Conference on Arithmetic Algebraic Geometry (H. Esnault,
E. Viehweg, G. Frey), Institute for Experimental Mathematics,
Essen, Germany, 2124 November 1995.
 Applications of diagonal quotient surfaces to a problem of
Mazur.
Conference on Arithmetic Algebraic Geometry
(H. Koch, J. Kramer, E.W. Zink), Berlin, Germany, 2126 March,
1996.
{MaxPlanck Institute für Mathematik Bonn Preprint No. 199651,
5pp.}
 Applications of diagonal quotient surfaces to a problem of Mazur.
Conference on Number Theory (B. Burgess, I. Fesenko),
Nottingham, England, 1316 April, 1996.
 The Hecke algebra and modular representations.
AG Oberwolfach on the ShimuraTaniyama Conjecture (G. Faltings,
G. Frey), Oberwolfach, Germany, 711 October 1996
{Tagungsbericht Oberwolfach 38/1996, p. 3}.
 Diagonal quotient surfaces and a problem of Mazur.
CMS Winter Meeting, London Ontario, 711 December 1996.
 Diagonal quotient surfaces and a question of Mazur.
Algebraic Number Theory (C. Deninger, G. Frey, P. Schneider,
A. Scholl), Oberwolfach, Germany, 2026 July 1997.
{Tagungsbericht Oberwolfach 28/1997, p. 78}.
 Public Key Cryptography and Arithmetic Geometry.
The Lorne Campbell Conference on Communications (B. Erdahl,
F. Alajaji, S. Blostein), Queen's University, Kingston, 1 August 1997.
 Diagonal quotient surfaces and a question of Mazur.
Number Theory and Arithmetical Geometry: Arithmetical
Applications of Modular Forms (G. Frey, J. Bost), San Feliu de
Guixols, Spain, 2429 October 1997.
Lecture (overhead slides)
 Mazur's question for mod 11 Galois representations.
ICM1998 Satellite Conference on Algebraic and Arithmetic Geometry
(H. Esnault, G. Frey, E. Viehweg), Universität Essen, 1014
August 1998.
Lecture (overhead slides)
 Mazur's question for mod 11 Galois representations.
Workshop on Algebraic Modular Forms and Modular Forms mod p
(H. Darmon, M. Savin), CRM, University of Montreal, Montreal,
17 October 1998.
Lecture (overhead slides)
 Unramified Galois covers of curves over number fields.
Rosenfest: Conference in Honour of M. Rosen's 60th birthday
(J. Silverman, J. Hoffstein), Brown University, Providence, RI, USA;
56 March 1999.
 Curves with an infinite Krational geometric fundamental group.
AMS Conference, Special Session on Galois Theory
(J. Thompson, H. Völklein). University of Florida, Gainesville,
Florida, 1213 March 1999.
Lecture (overhead slides)
 Curves with an infinite Krational geometric fundamental group.
Workshop on Arithmetical Algebraic Geometry (M. Goresky, K.
Murty),CRM, Montreal, 1418 May 1999.
 Unverzweigte Galoissche Überlagerungen von Kurven über
Zahlkörpern.
[Unramified Galois covers of curves over number fields]
Deutsche Math. Ver. (DMV) Jahrestagung, Sektion Zahlentheorie,
University of Mainz, Mainz, Germany, 511 September 1999.

padic representations of the Krational geometric
fundamental group.
Galois Actions and Geometry (P. Debes, H. Nakamura, A. Tamagawa),
Math. Sci. Research Institute (MSRI), Berkeley, 1115 October, 1999.
Lecture (overhead slides)
 The state of the art of elliptic curve cryptography.
CITO Conference: Layers of Security, CITO, Ottawa,
3 February, 2000.
Lecture (overhead slides)
 Equivariant AtkinLehner Theory.
Mini Workshop on Arithmetic Geometry (G. Frey),
Inst. Exp. Math., Univ. Essen, 46 June 2000.
Lecture (overhead slides)
 The Hurwitz space of genus 2 covers of an elliptic curve.
AMS Conference, Special Session on Groups and Covering Spaces in
Algebraic Geometry (M. Fried, H. Völklein), University of
California, Irvine, 1011 November 2001.
Lecture (overhead slides)
 Modular Diagonal Quotient Surfaces.
CRM Workshop on Hilbert Modular Varieties (H. Darmon, E. Goren),
Far Hills Hotel (near Montreal), 36 January 2002.
Lecture (overhead slides)
 The Hurwitz space of genus 2 covers of an elliptic curve.
CMS Summer Conference, Special Session on Arithmetic Geometry,
Université Laval, Québec, 1517 June 2002.
Lecture (overhead slides)
 The class number relations of Kronecker, Gierster and Hurwitz.
CMS Summer Conference, Special Session on Number Theory,
Université Laval, Québec, 1517 June 2002.
Lecture (overhead slides)
 Hurwitz spaces of covers of an elliptic curve.
QuebecMaine Conference (C. Levesque),
Université Laval, Québec, 1213 October 2002.
Lecture (overhead slides)
 Applications of the Hurwitz space H_{E/K,N}.
BIRS Workshop on Fundamental Groups,
BIRS (Banff Center), Banff, Alberta, 0620 September 2003.
 The number of covers of an elliptic curve.
AMS Conference, Special Session on Group Actions on Curves
University of North Carolina, Chapel Hill, NC 2425 October 2003.
Lecture (overhead slides)
 Endomorphisms of Jacobians of modular curves.
60th Birthday Conference of G. Frey,
University of Essen, Essen, Germany, 710 July 2004.
Lecture (overhead slides)
 Mazur's Question and Modular Diagonal Quotient Surfaces.
QuebecMaine Conference (C. Levesque), U Laval, Quebec,
23 October 2004.
Lecture (overhead slides)
 Endomorphisms of Jacobians of Modular Curves and an Application.
CMS Conference, Special Session on Arithmetic Alebraic Geomerty
(E. Goren, A. Iovita), Montreal, Quebec,
1113 December 2004.
Lecture (overhead slides)
 The HasseWeil Zeta Function of a Quotient Variety.
CMS Conference, Special Session on Lfunctions and Algebraic Curves,
Waterloo, Ontario,
46 June 2005.
Lecture (overhead slides)
 A Galois theory for elliptic subfields of a genus 2 function field.
AMS Conference, Special Session on Group Actions on Curves,
Durham, New Hampshire,
2223 April 2006.
Lecture (overhead slides)
 Curves of genus 2 and a Conjecture of Gauss.
QuebecMaine Number Theory Conference (C. Levesque),
Laval University, Quebec, 45 October 2008.
Lecture (overhead slides)
 Curves of genus 2 and a Conjecture of Gauss.
CMS Conference, Special Session in Number Theory,
Ottawa, Ontario, 68 December 2008.
Lecture (overhead slides)
 Binary Theta Series and CM Modular Forms.
QuebecMaine Number Theory Conference ,
Laval University, Quebec, 23 October 2010.
Lecture (overhead slides)
 Der Ring der Modularkorrespondenzen [The Ring of
Modular Correspondences].
Tuebinger Colloquium Conference,
IEM (=Institute of Experim. Math.), U DuisburgEssen,
7 May 2011.
Lecture (overhead slides)
 Binary Theta Series and Modular Forms with Complex Multiplication.
AMS Conference, Special Session in Recent Directions in Number
Theory
(A. Cojocaru),
University of Nebraska, Lincoln, NB, 1416 October 2011.
Lecture (overhead slides)
 Binary Theta Series and CM Modular Forms.
AMS Conference, Special Session in Algebraic Number Theory
(C. Levesque),
University of Hawaii, Honolulu, USA, 3 March 2012.
Lecture (overhead slides)
 The Ring of Modular Correspondences.
Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry,
and Modular Forms (HCANTAGMF) (C. Levesque),
University of Hawaii, Honolulu, USA, 6 March 2012.
Lecture (overhead slides)
 Korrespondenzen und hyperelliptische Kurven [Correspondences and
Hyperelliptic Curves].
Tuebinger Colloquium Conference,
U Augsburg, Augsburg, Germany, 2 June 2012.
Lecture (overhead slides)
 Tensorprodukte von Galoisdarstellungen
[Tensor products of Galois representations].
Tuebinger Colloquium Conference,
U Augsburg, Augsburg, Germany, 2 June 2012.
Lecture (overhead slides)
 Tensor products of Galois representations.
CMS Conference, Special Session in
Algebraic Number Theory,
Montreal, P.Q., 9 December 2012.
Lecture slides
 Generalized Humbert Schemes and Intersections of Humbert Surfaces.
AMS Conference, Special Session in Computational Advances in
Special Functions and Tropical Geometry (E. Previato),
University of Iowa, Ames, Iowa, 27 April 2013.
Lecture (overhead slides)
 Verallgemeinerte Humbertsche Schemata und Durchschnitte von Humbert Flaechen.
[Generalized Humbert Schemes and Intersections of Humbert Surfaces].
Tuebinger Colloquium Conference,
U Erlangen, Erlangen, Germany, 8 June 2013.
Lecture (overhead slides)
 Tensor products of Galois representations.
Ram Murty's 60th Birthday Conference
CRM, Montreal, P.Q. 15 Oct 2013.
Lecture (overhead slides)
 Hurwitz spaces for hyperelliptic curve covers.
Conference in Algebra and Number Theory
Tel Aviv University, Tel Aviv, Israel, 2 May 2014.
Lecture (overhead slides)
 Perfect cuboids and the box variety.
QuebecMaine Number Theory Conference,
Laval University, Quebec, 27 September 2014.
Lecture slides
 Perfect cuboids and the box variety.
CMS Conference, Section in Arithmetic Geometry (M. Kolster),
McMaster University, Hamilton, Ontario, 78 December 2014.
Lecture slides
 Subcovers of curves and moduli spaces.
R.D. Accola Memorial Conference (E. Previato),
Bosten University, Boston, MA, 19 March 2016.
Lecture slides
 Perfekte Kuboide und die Kastenvarietaet.
[Perfect cuboids and the box variety].
Tuebinger Kolloquium Conference,
U DuisburgEssen, Essen, Germany, 21 May 2106.
Lecture slides