Prof. Dr. Jens Franke
Sprechstunden
- Als Vorsitzender des Prüfungsausschusses Mathematik-Diplom:
Dienstags, von 13.00-14.00, im Büro von Frau Aydinc.
- Zur Vereinbarung von Prüfungsterminen: Dienstags, von 14.00 bis 15.00,
in meinem Büro.
Lecture "Algebraic geometry I", summer term 2011
To avoid collisions with a lecture of S. Schwede, this course is held on Mondays from 12.10 to 13.50
(100 minutes) and on Thursdays from 10.00 to 11.20 (80 minutes), Kl. Hs.
Starting from Monday, June 20, solutions to the exercises must now be submitted in the Monday lecture.
- The first exercises are here and here.
- Exercises due on May 5, 2011
- Exercises due on May 12, 2011
- Exercises due on May 19, 2011
- Exercises due on May 26, 2011
- Exercises due on June 3, 2011 in the exercises on Friday (!).
- Exercises due on June 9, 2011.
- Exercises due on June 20, 2011.
- Exercises due on June 27, 2011.
- Exercises due on July 4, 2011.
- Exercises due on July 11, 2011.
Lecture "Advanced topics in Algebra", summer term 2011
The lecture is devoted to arithmetic applications.
Seminar on elliptic curves.
The seminar is devoted to practical questions of elliptic curve
cryptography, and to complex multiplication (also with primary
interest in actual calculations). It takes place on Wednesdays
12.15 to 13.45.
Seminar über Funktionentheorie und analytische Zahlentheorie.
Das Seminar findet Dienstags von 12.15 bis 13.45 im Seminarraum
N0.007 statt.
Vorlesungen "Mathematik für Physiker I-III"
Die Javascript-Programme zu den Anwesenheitsübungen dieser Vorlesungen, die
ich zwischen 2008 und 2011 gehalten habe, sind weiterhin online:
Selected Publications
- On the spaces Fspq of Triebel-Lizorkin type:
pointwise multipliers and spaces on domains, Math. Nachr. 125 (1986),
113-149.
- (with Yu. I. Manin and Yu. Tschinkel)
Rational points of bounded height on Fano varieties,
Invent. Math. 95(1989), 421-435
- (with T. Runst)
Regular elliptic boundary value problems in Besov-Triebel-Lizorkin spaces.
Math. Nachr. 174 (1995), 113-149.
- Harmonic analysis in weighted L2-spaces,
Ann. Sci. École Norm. Sup. (4), 31(1998), 181-279
- (with J. Schwermer),
A decomposition of spaces of automorphic forms, and the Eisenstein
cohomology of arithmetic groups,
Math. Ann. 311(1998), 765-790.
- On the singularities of residual Eisenstein series,
Invent. Math. 138(1999), 307-317
- (With T. Kleinjung, F. Morain and T. Wirth)
Proving the primality of very large numbers with fastECPP,
in Algorithmic number theory,
Lecture Notes in Comput. Sci., 3076, 2004, pages 194-207.
- (With T. Kleinjung),
Continued fractions and lattice sieving.
In: Proceedings SHARCS 2005
- (with K. Aoki, T. Kleinjung, A. Lenstra, D. Osvik)
A kilobit special number field sieve factorization,
in Advances in cryptology. ASIACRYPT 2007,
Lecture Notes in Comput. Sci., 4833, 2007, pages 1-12.
- A topological model for some summand of the Eisenstein
cohomology of congruence subgroups, in
Eisenstein series and applications, Progr. Math., 258, 2008,
pages 27-85.
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