- Modular degrees and congruence numbers for modular abelian varieties over Q
- Professor Ken Ribet Linear Algebra
- IRREDUCIBLE GALOIS REPRESENTATIONS ARISING FROM COMPONENT GROUPS OF JACOBIANS
- ACTA ARITHMETICA LXXIX.1 (1997)
- that touches only one region counts double for that region. Hence the sum of the degrees of the regions is twice the number of edges; i.e., it's also the
- Math 110 Professor K. A. Ribet Midterm Exam April 5, 2005
- Random variables are functions f : S ! R; that's all there is to the definition. Imagine S representing the various configurations of some gambling device (roulette wheel, say) and
- Please print and distribute to staff who do not have access to e-mail. Berkeley Staff Assembly (BSA) Announcements
- Please print and distribute to staff who do not have access to e-mail. Berkeley Staff Assembly (BSA) Announcements
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- IABA Annual Meeting London 17-19 June 2011 Event information and registration package
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- Math 115 Professor K. A. Ribet Midterm Exam September 27, 2006
- Math H113 Spring, 2003 Can you please post solutions to problem 7 part d of 4.1 and also to problems 11 and 12 of 4.2?
- The sample space is the set S of positive integers, with n 2 S corresponding to n \Gamma 1 misses followed by a hit. Then P (n) = q n\Gamma1 p, where q = 1 \Gamma p as before. The function n 7! n is
- Math 114 Professor K. A. Ribet Midterm Exam April 8, 2004
- Miller institute newsletter Miller Fellow Focus: Heather Knutson
- Simultaneous Degrees Application Packet Your application must be reviewed and approved by the major advisers in both colleges or schools, who will verify that your proposed program
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- Extra problem on elliptic curves, due April 7 Let E be the elliptic curve considered in class on March 19, i.e., the curve with equation
- PROFESSOR KENNETH A. RIBET First Midterm Examination
- REPORT ON MOD REPRESENTATIONS OF Gal(Q/Q) Kenneth A. Ribet
- GALOIS THEORY AND TORSION POINTS ON CURVES MATTHEW H. BAKER AND KENNETH A. RIBET
- Recent Work on Serre's Conjectures Kenneth A. Ribet
- University of California, Berkeley College of Letters and Science COMPLETION OF L&S MINOR
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- UNIVERSITY OF CALIFORNIA, BERKELEY SANTA BARBARA SANTA CRUZBERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
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- The first term is E(f 2 ), the second term is \Gamma2E(f ) 2 , and the third is E(f) 2 . Example: let S be the sample space f0; 1g where the probability of 1 is p. Let f be the
- The old subvariety of Jo(pq) Kenneth A. Ribet
- Thus we do indeed have that a b if and only if f(a) = f(b). Here's another crucial fact. Suppose that we have an equivalence relation on A and that
- Math H113 Spring, 2003 If you get a chance, I'd love to see solutions to 4.4 #5 and/or 4.5 #16. Thanks. Hope you have a
- Math 110 Professor K. A. Ribet Midterm Exam February 22, 2005
- Math H113 Spring, 2003 I have been asked to write up solutions to problems 10 and 16 in 3.2 and problem 7, 9
- Math 55: Discrete Math G.S.I. Loren Looger
- Announcement: I won't be holding office hours this Friday. (I'm going to Caltech for a Now we begin the third and final portion of the course: we concentrate on graphs and
- Math 55: Discrete Math G.S.I. Loren Looger
- Programs for the HP28S These programs offer weak emulation of some of the most fundamental of the Turbo Pascal
- Professor Ken Ribet Answers to First Midterm Exam February 18, 1991
- Math 115 Professor K. A. Ribet First Midterm Exam September 29, 2000
- ``Pokerhontas drops the King of ---, the King of ~ and the Ace of into a large bag. She shakes the bag vigorously and then removes two of the cards without looking at them.
- (x5.5, #11) In how many ways can seven different jobs be assigned to four different employees so that each employee is assigned to at least
- So we have verified the statement for n + 1. So by induction, the statement holds for all integers n 0.
- Math 55: Discrete Math GSI Charles Holton
- October 7, 1997 How many bit strings of length 18 have 13 0's and 5 1's?
- These are the slides for Nobember 18, 1997. Remember that examples will be written down in class but aren't pre
- long as possible. It's a circuit. This circuit and the previouslyconstructed circuit can be spliced together to make a bigger circuit. Continue until there's
- Galois groups arising from -division points of elliptic curves
- MODULAR FORMS AND DIOPHANTINE QUESTIONS KENNETH A. RIBET
- TORSION POINTS ON X0(N) Robert Coleman, Bruce Kaskel and Kenneth A. Ribet
- From the Taniyama-Shimura Conjecture to Fermat's Last Kenneth A. Ribet
- Two-dimensional representations in the arithmetic of modular curves
- MULTIPLICITIES OF GALOIS REPRESENTATIONS IN JACOBIANS OF SHIMURA CURVES
- Multiplicities of p-finite mod p Galois representations in Jo(Np) Kenneth A. Ribet
- Review of Abelian l-adic Representations and Elliptic Curves Kenneth A. Ribet, U.C. Math Department, Berkeley CA 94720
- Raising the Levels of Modular Representations Kenneth A. Ribet
- Recent work on Serre's conjectures
- Class groups and Galois representations Kenneth A. Ribet
- Endomorphism algebras of semistable abelian varieties over Q of GL(2)-type
- Reducible Galois representations arising from weight-two modular forms
- Non-optimal levels of mod reducible Galois representations
- Math 114 Professor K. A. Ribet Midterm Exam Fabruary 19, 2004
- Professor Kenneth Alan Ribet Midterm Exam February 24, 1992
- PROFESSOR KENNETH A. RIBET First Midterm Examination
- PROFESSOR KENNETH A. RIBET Last Midterm Examination
- Last Midterm Examination April Fools' Day, 2010
- First Midterm Examination February 16, 2010
- PROFESSOR KENNETH A. RIBET Last Midterm Examination
- Math 115 Professor K. A. Ribet Midterm Exam November 1, 2006
- Notes for the lecture on February 10, 2005 The first part of the lecture will correspond to the end of the notes that were posted for
- Notes for the lecture on February 15, 2005 We discussed duals of linear maps T : V W, where V and W are finite-dimensional.
- Math 110 Professor K. A. Ribet Midterm Exam November 3, 2003
- THE FUNDAMENTAL THEOREM OF ALGEBRA AND LINEAR ALGEBRA
- Math H110 Professor K. Ribet Review problems for further study
- Math 110 Professor K. A. Ribet Midterm Exam September 26, 2002
- Math 110 Professor K. A. Ribet Midterm Exam October 31, 2002
- Math 115 Professor K. A. Ribet Second Midterm Exam November 3, 2000
- A Supplement to An Introduction to The Theory of Numbers
- Reference Guide to Turbo Pascal Programs
- Math 115 Professor K. A. Ribet First Midterm Exam September 23, 1999
- Math 115 Professor K. A. Ribet Second Midterm Exam October 28, 1999
- Math 250A Professor K. A. Ribet Last Midterm Exam November 1, 2001
- April 8, 1991 1. Show that all groups of order 22 are either cyclic or dihedral. Let G have order 22. Let N be the
- Professor Kenneth A. Ribet Second Midterm Exam November 16, 1992
- Math 250A, Fall 2004 Last Midterm Exam--November 4, 2004
- Mathematics 55 Professor K. A. Ribet Last Midterm Exam April 8, 1996
- Notes for the lecture on February 8, 2005 The lecture will be full of matrices and formulas. Here is a sketch of what I intend to talk
- Math 110 Professor K. A. Ribet Midterm Exam September 25, 2008
- number, contradicting that it should be irrational. Therefore the negation of the statement is false, so the statement must itself be true.
- answer is to say ``\Gamma5 plus any multiple of 13.'' 3 (10 points). The celebrated Ribonacci numbers R n are defined as follows
- Math 115 Professor K. A. Ribet First Midterm Exam February 25, 1998
- This is just the logical way of working backwards through fast modular exponentiation. (x3.4, #13) How does the number of multiplications used in Exercise 12 compare with the
- Ribet Office Hours ---885 Evans ffl December 5: 2--3:30 PM
- ABELIAN VARIETIES OVER Q AND MODULAR FORMS Kenneth A. Ribet
- Math H113 Professor K. A. Ribet Midterm Exam February 20, 2003
- AN INTRODUCTION TO THE THEORY OF NUMBERS
- Math 115 Professor K. A. Ribet Spring Semester, 1998
- Professor Ken Ribet Linear Algebra
- These are the notes for November 11, 1997. Our topic today is ``partial orderings.'' A partial order (or ordering) on a set S is an
- Professor Kenneth A. Ribet State Hilbert's Theorem 90 for finite cyclic Galois extensions.14 pts.
- Ribet's Math 110 Second Midterm, problems and abbreviated solutions Please put away all books, calculators, and other portable electronic devices--anything with an
- Math 115 Professor K. A. Ribet Fall Semester, 1999
- NEWS ITEM FOR THE "NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY"
- Math 115 Professor K. A. Ribet First Midterm Exam February 25, 1998
- will become the pair. There are \Gamma 4 ways to choose the suits for the pair, and 4 ways to choose the suit of
- First Midterm Examination February 18, 2010
- (same numerical value). To make the first term, we can choose Sara arbitrarily and decree that her team will get selected first. There are 35 nonSaras to choose from and 8 slots for
- (x1.6, #15) Suppose that g is a function from A to B and f is a function from B to C. a) Show that if both f and g are onetoone functions, then f ffi g is also onetoone.
- TORSION POINTS ON J0(N) AND GALOIS REPRESENTATIONS Kenneth A. Ribet
- Math H113 Spring, 2003 Thu May 1 18:27:53 2003 : can you post solutions to 7.6.2, 8.1.6, and 8.2.4? thanks
- Math H113 Spring, 2003 Wed May 7 22:18:00 2003 : Hi could you opst solutions to 8.2.7, 8.3.6,8.3.7, 9.4.3 ?
- Math 55: Discrete Math G.S.I. Yossi Fendel
- Overview of the proof Kenneth A. Ribet
- Suppose that p = 0 in F. Then we'd like to find p p matrices A and B such that AB -BA = I, where I is the identity matrix of size p. Equivalently, we'd like to exhibit a
- Math 250A, Fall 2004 First Midterm Exam--September 30, 2004
- Workshop on Serre's Modularity Conjecture: the level one case
- Math 115 Professor K. A. Ribet Second Midterm Exam April 8, 1998
- Math 55: Discrete Math G.S.I. Loren Looger
- LABORATORY 1 GCDs & The Euclidean Algorithm
- Bimodules and Abelian Surfaces Kenneth A. Ribet
- Math 250A Professor K. A. Ribet First Midterm Exam September 27, 2001
- Math 110 Professor K. A. Ribet Midterm Exam September 29, 2003
- Math H113 Professor K. A. Ribet Midterm Exam April 8, 2003
- Contemporary Mathematics Volume 174, 1994
- Today is November 13, 1997. Administrative comments
- ERRATA TO EARLIER PRINTINGS OF LANG'S ALGEBRA (3RD EDITION) and minor errata to the current printing
- -ADIC MODULAR DEFORMATIONS AND WILES'S "MAIN CONJECTURE"
- We are given group homomorphisms f : H ! G and f0: H ! G0, and we wish to fi* *nd the coproduct.
- Math 115 Professor K. A. Ribet Second Midterm Exam April 8, 1998
- First Midterm Examination February 18, 2010
- Last Midterm Examination April Fools' Day, 2010
- Mathematics 116 Professor K. A. Ribet First Midterm Exam February 14, 2012
- Mathematics 116 Professor K. A. Ribet First Midterm Exam February 14, 2012