Voight, John - Department of Mathematics and Statistics, University of Vermont

• FINITE FIELDS Introduction
• DES: THE FEISTEL CIPHER The Hill cipher allows us to create large invertible maps by specifying only a
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I WORKSHEET, DAY #1
• Quadratic forms and quaternion algebras: algorithms and arithmetic John Michael Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• DISCRETE LOGARITHMS AND THE DIFFIE-HELLMAN [For more information, see x6.4 (and Exercise 6.19), x7.7, and x6.5 in the text.]
• QUIZ #2: CALCULUS 1A (Stankova) Wednesday, February 4, 2004
• REVIEW, MIDTERM #1 (Key): MATH 1B Warning: I have not seen a copy of the midterm examination. Concepts
• Enumeration of totally real number fields of bounded root discriminant
• ELLIPTIC CURVE CRYPTOGRAPHY For a reference on elliptic curves and their cryptographic applications, see
• THE HILL CIPHER, RINGS, AND SOME LINEAR ALGEBRA Usually, in linear algebra we take matrices with entries in the real numbers or
• The arithmetic of quaternion algebras John Voight
• MIDTERM #2 (Key) JONES, SPRING 1998
• QUIZ #1: CALCULUS 1A (Stankova) Wednesday, January 28, 2004
• ASPECTS OF COMPUTATIONAL GROUP THEORY JOHN VOIGHT
• THE HILL CIPHER, RINGS, AND SOME LINEAR ALGEBRA Usually, in linear algebra we take matrices with entries in the real numbers or
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem Score
• Heegner points and Sylvester's conjecture Samit Dasgupta and John Voight
• MATH 20C: FUNDAMENTALS OF CALCULUS II WORKSHEET, DAY #19
• MATH 255: ELEMENTARY NUMBER THEORY Please complete the following problems in the space provided. Please include all relevant
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• QUIZ #3: CALCULUS 1A (Stankova) Wednesday, February 11, 2004
• MIDTERM EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• ,. .,,' ~d_--cd b Bradford Books
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I JOHN VOIGHT
• EXPLICIT METHODS FOR HILBERT MODULAR FORMS LASSINA DEMBELE AND JOHN VOIGHT
• The arithmetic of quaternion algebras John Voight
• CHARACTERIZING QUATERNION RINGS OVER AN ARBITRARY BASE
• ALGORITHMIC ENUMERATION OF IDEAL CLASSES FOR QUATERNION ORDERS
• SHIMURA CURVES OF GENUS AT MOST TWO JOHN VOIGHT
• Journal de Theorie des Nombres de Bordeaux 00 (XXXX), 000000
• ADDENDA AND ERRATA FOR ON NONDEGENERACY OF CURVES
• MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000{000
• PERFECT NUMBERS: AN ELEMENTARY INTRODUCTION JOHN VOIGHT
• TORIC SURFACES AND CONTINUED FRACTIONS JOHN VOIGHT
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I JOHN VOIGHT
• A SOCIAL AND MATHEMATICAL HISTORY OF CRYPTOGRAPHY
• HONS 195N: CRYPTOGRAPHY WORKSHEET, DAY #4
• HONS 195N: CRYPTOGRAPHY FINAL PAPER
• MATH 20C: FUNDAMENTALS OF CALCULUS II WORKSHEET, DAY #12
• MATH 20C: FUNDAMENTALS OF CALCULUS II WORKSHEET, DAY #17
• MATH 20C: FUNDAMENTALS OF CALCULUS II Problem 1. Evaluate the integral
• MATH 20C: FUNDAMENTALS OF CALCULUS II 4xy2 + 3x + 1
• MATH 20C: FUNDAMENTALS OF CALCULUS II QUIZ #8 (REPEAT)
• MATH 20C: FUNDAMENTALS OF CALCULUS II Please complete the following problems in the space provided. You may use an approved
• MATH 20C: FUNDAMENTALS OF CALCULUS II (a) Evaluate the integral
• MATH 20C: FUNDAMENTALS OF CALCULUS II Please complete the following problems in the space provided. You may use an approved
• MATH 20C: FUNDAMENTALS OF CALCULUS II Problem 1. Find the area of the region between y = x2
• MATH 20C: FUNDAMENTALS OF CALCULUS II Please complete the following problems in the space provided. You may use an approved
• MATH 20C: FUNDAMENTALS OF CALCULUS II (a) Which one of the following functions is linear?
• Fall 2008: Math 295A/395A: Cryptography Ever wonder what it means when that little padlock appears on
• MATH 252: ABSTRACT ALGEBRA II JOHN VOIGHT
• MATH 252: ABSTRACT ALGEBRA II RESEARCH TOPICS
• MATH 251: ABSTRACT ALGEBRA I JOHN VOIGHT
• MATH 110: LINEAR ALGEBRA MIDTERM #1 REVIEW
• MATH 115: ELEMENTARY NUMBER THEORY JOHN VOIGHT
• FINAL EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• MATH 115: NUMBER THEORY Answer each question completely, and give sufficient justification and
• MATH 115: ERRATA IN ELEMENTARY NUMBER THEORY, FOURTH EDITION BY KENNETH H. ROSEN
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• MATH 1A: INDETERMINACIES Here is a classification/table of all possible indeterminacies, and how they are
• QUIZ #1: CALCULUS 1A (Stankova) Wednesday, January 28, 2004
• QUIZ #6: CALCULUS 1A (Stankova) Wednesday, March 3, 2004
• QUIZ #9: CALCULUS 1A (Stankova) Wednesday, March 31, 2004
• QUIZ #13: CALCULUS 1A (Stankova) Wednesday, April 28, 2004
• BLOCK CIPHERS Some other groups that we shall encounter in the following
• THE HILL CIPHER (CONTINUED): COMPUTING THE INVERSE OF A MATRIX
• Algebraic Setup We begin with a theorem from group theory
• RSA (CONTINUED): COMPUTATIONAL ISSUES Still to be discussed
• Primality Testing In cryptography, we need to generate large prime numbers. How can we test if
• FINITE FIELDS Introduction
• RIJNDAEL CIPHER For any cryptographic system, we need to define encryption and decryption
• DISCRETE LOGARITHMS AND THE DIFFIE-HELLMAN [For more information, see 6.4 (and Exercise 6.19), 7.7, and 6.5 in the text.]
• DISCRETE LOGARITHM (CONTINUED) Here is a baby example of a Diffie-Hellman exchange. Recall A picks an integer a
• REVIEW, MIDTERM #1: MATH 1B Problem 1. The integral
• REVIEW, MIDTERM #2: MATH 1B Problem 1. The equation
• REVIEW, FINAL: MATH 1B Warning: I have not seen a copy of the final examination. Concepts and
• REVIEW, FINAL: MATH 1B ADDITIONAL PROBLEMS
• FINAL (Key) JONES, Fall 1994
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem 1. Statement (a) is true: A Cauchy sequence is convergent, and a convergent sequence is bounded.
• MATH 110: LINEAR ALGEBRA MIDTERM #2 REVIEW
• ELLIPTIC CURVE CRYPTOGRAPHY (CONTINUED) A summary of all we have seen: An elliptic curve over a eld k is given by an
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• FINAL (Key) JONES, Fall 1994
• THE EUCLIDEAN ALGORITHM Recall that
• QUIZ #1: CALCULUS 1A (Stankova) Wednesday, January 28, 2004
• BLOCK CIPHERS Some other groups that we shall encounter in the following
• DES AND SDES First, some notation: F 2 = Z=2Z. In general, F q denotes a nite eld with q
• Algebraic Setup We begin with a theorem from group theory
• REVIEW, MIDTERM #2: MATH 1B (Key) Warning: I have not seen a copy of the midterm examination. Concepts
• INTRODUCTION TO ALGEBRAIC STACKS JOHN VOIGHT
• The arithmetic of quaternion algebras John Voight
• GROUP THEORY The reference for the material covered here is any abstract algebra book; the
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem 1. Statement (a) is false: take the sequence (0, 1, 0, 2, 0, 3, 0, 4, . . . ), which has the
• REVIEW, FINAL (Key): MATH 1B ADDITIONAL PROBLEMS
• ELLIPTIC CURVE CRYPTOGRAPHY For a reference on elliptic curves and their cryptographic applications, see
• COMPUTING FUNDAMENTAL DOMAINS FOR FUCHSIAN GROUPS
• HONS 195N: CRYPTOGRAPHY WORKSHEET, DAY #14
• QUIZ #2: CALCULUS 1A (Stankova) Wednesday, February 4, 2004
• QUIZ #9: CALCULUS 1A (Stankova) Wednesday, March 31, 2004
• FINAL EXAM REVIEW MATH 115: NUMBER THEORY
• QUIZ #4: CALCULUS 1A (Stankova) Wednesday, February 18, 2004
• REVIEW, MIDTERM #2: MATH 1B (Key) Warning: I have not seen a copy of the midterm examination. Concepts
• FINAL EXAM SOLUTIONS MATH 115: NUMBER THEORY
• MIDTERM #1 (KEY) JONES, FALL 2001
• RSA (CONTINUED): WHEN THE EXPONENT IS LEAKED We prove the following fact
• DES: THE FEISTEL CIPHER The Hill cipher allows us to create large invertible maps by specifying only a
• REVIEW, FINAL: MATH 1B ADDITIONAL PROBLEMS
• DISCRETE LOGARITHM (CONTINUED) Here is a baby example of a Die-Hellman exchange. Recall A picks an integer a
• FINITE FIELDS (CONTINUED): HOW TO CONSTRUCT [For more on nite elds, consult the treatise by Lidl and Neiddereiter entitled
• QUIZ #13: CALCULUS 1A (Stankova) Wednesday, April 28, 2004
• QUATERNION ALGEBRAS: ALGORITHMS AND ARITHMETIC
• THE EUCLIDEAN ALGORITHM Recall that
• RSA (CONTINUED): COMPUTATIONAL ISSUES Still to be discussed
• ON THE NONEXISTENCE OF ODD PERFECT NUMBERS JOHN VOIGHT
• The arithmetic of quaternion algebras John Voight
• MATH 255: ELEMENTARY NUMBER THEORY JOHN VOIGHT
• MIDTERM #1 (KEY) JONES, SPRING 1998
• COMPUTING SYSTEMS OF HECKE EIGENVALUES ASSOCIATED TO HILBERT MODULAR FORMS
• FINITE FIELDS (CONTINUED): HOW TO CONSTRUCT [For more on finite fields, consult the treatise by Lidl and Neiddereiter entitled
• MIDTERM EXAM SOLUTIONS MATH 115: NUMBER THEORY
• MIDTERM EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• MIDTERM EXAM SOLUTIONS MATH 115: NUMBER THEORY
• MATH 255: ELEMENTARY NUMBER THEORY PAPER TOPICS
• QUIZ #3: CALCULUS 1A (Stankova) Wednesday, February 11, 2004
• COMPUTING CM POINTS ON SHIMURA CURVES ARISING FROM COCOMPACT ARITHMETIC TRIANGLE
• MIDTERM #1 (KEY) JONES, SPRING 1998
• MIDTERM #2 (Key) JONES, SPRING 1998
• GROUP THEORY The reference for the material covered here is any abstract algebra book; the
• REVIEW, FINAL: MATH 1B Warning: I have not seen a copy of the nal examination. Concepts and
• The arithmetic of quaternion algebras John Voight
• MATH 20C: FUNDAMENTALS OF CALCULUS II JOHN VOIGHT
• QUIZ #1: CALCULUS 1A (Stankova) Wednesday, January 28, 2004
• MATH 255: ELEMENTARY NUMBER THEORY (a) Find a root of the polynomial x5
• The arithmetic of quaternion algebras John Voight
• The arithmetic of quaternion algebras John Voight
• ASPECTS OF COMPLEX MULTIPLICATION 1. Preview 2
• MIDTERM #1 (KEY) JONES, FALL 2001
• Nonsolvable number fields ramified only at 3 and 5
• WORDS AND THEIR NEGATIVES In the Vigen ere cipher, we take plain text and add a key word: EK ( ) = K+ ;
• MATH 115: NUMBER THEORY Answer each question completely, and give su#cient justification and
• REVIEW, FINAL: MATH 1B Problem 1. Consider the differential equation
• DES AND SDES First, some notation: F2 = Z/2Z. In general, Fq denotes a finite field with q
• FINAL EXAM SOLUTIONS MATH 115: NUMBER THEORY
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). Compute the inverse of 15 in the group (Z/127Z).
• QUIZ #4: CALCULUS 1A (Stankova) Wednesday, February 18, 2004
• Quadratic forms and quaternion algebras: algorithms and arithmetic John Michael Voight
• RIJNDAEL CIPHER (CONTINUED): DISCUSSION First, we discuss the map M . Recall that we de ne the map
• MATH 115: ERRATA IN ELEMENTARY NUMBER THEORY, FOURTH EDITION BY KENNETH H. ROSEN
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem 1. Statement (a) is true: if A is countable then A is nonempty, and if a A then there
• MATH 251: ABSTRACT ALGEBRA I Problem 1. Let F be a field. For a polynomial f(x) =
• John VOIGHT Computing fundamental domains for Fuchsian groups
• MATH 255: ELEMENTARY NUMBER THEORY EXAM #2 REVIEW
• MATH 110: LINEAR ALGEBRA MIDTERM #2 REVIEW SOLUTIONS
• MATH 295B/395A: CRYPTOGRAPHY JOHN VOIGHT
• MATH 252: ABSTRACT ALGEBRA II WORKSHEET, DAY #12
• FINAL EXAM REVIEW MATH 115: NUMBER THEORY
• Shimura curve computations John Voight
• ON NONDEGENERACY OF CURVES WOUTER CASTRYCK AND JOHN VOIGHT
• WORDS AND THEIR NEGATIVES In the Vigen`ere cipher, we take plain text and add a key word: EK() = K + ;
• The arithmetic of quaternion algebras John Voight
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• John Voight Department of Mathematics and Statistics jvoight@gmail.com
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). Let G be a group and N a normal subgroup. What is the identity in the quotient
• RINGS OF LOW RANK WITH A STANDARD INVOLUTION JOHN VOIGHT
• CONVENTIONAL ENCRYPTION TECHNIQUES: SOME MATHEMATICS
• MATH 251: ABSTRACT ALGEBRA I REVIEW, EXAM #1
• The arithmetic of quaternion algebras John Voight
• FINITE FIELDS (CONTINUED): HOW TO CONSTRUCT MATH 195
• MATH 1A: INDETERMINACIES Here is a classification/table of all possible indeterminacies, and how they *
• FINAL EXAM SOLUTIONS MATH 115: NUMBER THEORY
• REVIEW, FINAL: MATH 1B ADDITIONAL PROBLEMS
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• RSA MATH 195
• ELLIPTIC CURVE CRYPTOGRAPHY (CONTINUED) MATH 195
• MATH 110: LINEAR ALGEBRA MIDTERM #2 REVIEW SOLUTIONS
• MATH 115: ELEMENTARY NUMBER THEORY JOHN VOIGHT
• QUIZ #2: CALCULUS 1A (Stankova) Wednesday, February 4, 2004
• PRIMALITY MATH 195
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• REVIEW, MIDTERM #2: MATH 1B Problem 1. The equation
• FINAL (Key) JONES, Fall 1994
• QUIZ #9: CALCULUS 1A (Stankova) Wednesday, March 31, 2004
• FINAL EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• REVIEW, FINAL: MATH 1B Problem 1. Consider the differential equation
• MIDTERM #2 (Key) JONES, SPRING 1998
• FINAL EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• QUIZ #5: CALCULUS 1A (Stankova) Wednesday, February 25, 2004
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• MATH 295A/395A: CRYPTOGRAPHY JOHN VOIGHT
• THE HILL CIPHER (CONTINUED): COMPUTING THE INVERSE OF A MATRIX
• REVIEW, MIDTERM #1 (Key): MATH 1B Warning: I have not seen a copy of the midterm examination. Concepts
• QUIZ #13: CALCULUS 1A (Stankova) Wednesday, April 28, 2004
• The arithmetic of quaternion algebras John Voight
• RSA (CONTINUED): WHEN THE EXPONENT IS LEAKED We prove the following fact
• RIJNDAEL CIPHER For any cryptographic system, we need to de ne encryption and decryption
• MATH 1A: INDETERMINACIES Here is a classification/table of all possible indeterminacies, and how they are
• CONVENTIONAL ENCRYPTION TECHNIQUES: SOME MATHEMATICS
• REVIEW, FINAL: MATH 1B Problem 1. Consider the di erential equation
• REVIEW, FINAL (Key): MATH 1B ADDITIONAL PROBLEMS
• MATH 115: ELEMENTARY NUMBER THEORY JOHN VOIGHT
• Primality Testing In cryptography, we need to generate large prime numbers. How can we test if
• QUIZ #2: CALCULUS 1A (Stankova) Wednesday, February 4, 2004
• MATH 20C: FUNDAMENTALS OF CALCULUS II WORKSHEET, DAY #14
• BLOCK CIPHERS MATH 195
• QUIZ #13: CALCULUS 1A (Stankova) Wednesday, April 28, 2004
• MIDTERM #1 (KEY) JONES, SPRING 1998
• QUIZ #10: CALCULUS 1A (Stankova) Wednesday, April 7, 2004
• REVIEW, MIDTERM #2: MATH 1B (Key) Warning: I have not seen a copy of the midterm examination. Concepts
• QUIZ #9: CALCULUS 1A (Stankova) Wednesday, March 31, 2004
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• MIDTERM EXAM SOLUTIONS MATH 115: NUMBER THEORY
• RSA (CONTINUED): WHEN THE EXPONENT IS LEAKED MATH 195
• QUIZ #7: CALCULUS 1A (Stankova) Wednesday, March 10, 2004
• QUIZ #13: CALCULUS 1A (Stankova) Wednesday, April 28, 2004
• REVIEW, FINAL: MATH 1B Warning: I have not seen a copy of the final examination. Concepts and
• MATH 1A: REVIEW OF TRIGONOMETRIC FUNCTIONS JOHN VOIGHT
• THE HILL CIPHER, RINGS, AND SOME LINEAR ALGEBRA MATH 195
• MATH 115: ERRATA IN ELEMENTARY NUMBER THEORY, FOURTH EDITION BY KENNETH H. ROSEN
• FINAL EXAM REVIEW MATH 115: NUMBER THEORY
• RIJNDAEL CIPHER MATH 195
• REVIEW, FINAL (Key): MATH 1B ADDITIONAL PROBLEMS
• FINAL EXAM MATH 115: NUMBER THEORY
• RSA (CONTINUED): COMPUTATIONAL ISSUES MATH 195
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem 1. Statement (a) is true: since A is infinite, there is a sequence (an) with an A and all an
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• ELLIPTIC CURVE CRYPTOGRAPHY (CONTINUED) A summary of all we have seen: An elliptic curve over a field k is given by an
• QUIZ #5: CALCULUS 1A (Stankova) Wednesday, February 25, 2004
• The arithmetic of quaternion algebras John Voight
• REVIEW, MIDTERM #1: MATH 1B Problem 1. The integral Z 1
• QUIZ #8: CALCULUS 1A (Stankova) Wednesday, March 17, 2004
• ALGORITHMS FOR LINEAR ALGEBRA JOHN VOIGHT
• MATH 20C: FUNDAMENTALS OF CALCULUS II WORKSHEET, DAY #40 (FINAL REVIEW)
• MATH 241: ANALYSIS IN SEVERAL REAL VARIABLES I Problem Score
• QUIZ #7: CALCULUS 1A (Stankova) Wednesday, March 10, 2004
• Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups
• CURVES OVER FINITE FIELDS WITH MANY POINTS: AN INTRODUCTION
• RIJNDAEL CIPHER (CONTINUED): DISCUSSION First, we discuss the map M. Recall that we define the map
• QUIZ #10: CALCULUS 1A (Stankova) Wednesday, April 7, 2004
• INTRODUCTION TO FINITE GROUP SCHEMES 1. Tate's theorem 2
• REVIEW, MIDTERM #2: MATH 1B Problem 1. The equation
• The arithmetic of quaternion algebras John Voight
• MATH 255: ELEMENTARY NUMBER THEORY (a) Compute gcd(24, 103).
• SHIMURA CURVES OF GENUS AT MOST TWO JOHN VOIGHT
• QUIZ #3: CALCULUS 1A (Stankova) Wednesday, February 11, 2004
• MATH 110: LINEAR ALGEBRA MIDTERM #1 REVIEW
• ELLIPTIC CURVE CRYPTOGRAPHY MATH 195
• QUIZ #4: CALCULUS 1A (Stankova) Wednesday, February 18, 2004
• WORDS AND THEIR NEGATIVES MATH 195
• GROUP THEORY MATH 195
• DISCRETE LOGARITHMS AND THE DIFFIE-HELLMAN EXCHANGE
• MATH 110: LINEAR ALGEBRA MIDTERM #2 REVIEW
• REVIEW, MIDTERM #1 (Key): MATH 1B Warning: I have not seen a copy of the midterm examination. Concepts
• RIJNDAEL CIPHER (CONTINUED): DISCUSSION MATH 195
• QUIZ #5: CALCULUS 1A (Stankova) Wednesday, February 25, 2004
• CONVENTIONAL ENCRYPTION TECHNIQUES: SOME MATHEMATICS
• QUIZ #3: CALCULUS 1A (Stankova) Wednesday, February 11, 2004
• THE EUCLIDEAN ALGORITHM MATH 195
• MIDTERM EXAM REVIEW SOLUTIONS MATH 115: NUMBER THEORY
• REVIEW, MIDTERM #1: MATH 1B Problem 1. The integral Z 1
• QUIZ #6: CALCULUS 1A (Stankova) Wednesday, March 3, 2004
• DES: THE FEISTEL CIPHER MATH 195
• DES AND SDES MATH 195
• THE HILL CIPHER (CONTINUED): COMPUTING THE INVERSE OF A MATRIX
• QUIZ #1: CALCULUS 1A (Stankova) Wednesday, January 28, 2004
• FINITE FIELDS MATH 195
• MIDTERM #1 (KEY) JONES, FALL 2001
• QUIZ #2: CALCULUS 1A (Stankova) Wednesday, February 4, 2004
• DISCRETE LOGARITHM (CONTINUED) MATH 195
• MATH 052: FUNDAMENTALS OF MATHEMATICS JOHN VOIGHT
• Math 52 Master Syllabus Fall 2011 Jonathan Sands, Course Coordinator
• MATH 251: ABSTRACT ALGEBRA I JOHN VOIGHT
• IDENTIFYING THE MATRIX RING: ALGORITHMS FOR QUATERNION ALGEBRAS AND QUADRATIC FORMS
• ALGEBRAIC CURVES UNIFORMIZED BY CONGRUENCE SUBGROUPS OF TRIANGLE GROUPS
• Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups
• MATH 251: ABSTRACT ALGEBRA I Problem Score
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). Apply the Euclidean algorithm to find c 65 (mod 109).
• EXPLICIT METHODS FOR HILBERT MODULAR FORMS LASSINA DEMBELE AND JOHN VOIGHT
• MATH 052: INTRODUCTION TO PROOFS REVIEW, EXAM #1
• COMPUTING ZETA FUNCTIONS OF SPARSE NONDEGENERATE HYPERSURFACES
• MATH 052: INTRODUCTION TO PROOFS Problem 1(a). False. Valid expressions would be P (Q) or P (Q R).
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). The order of Hn = xn
• MATH 052: INTRODUCTION TO PROOFS REVIEW, EXAM #1
• MATH 052: INTRODUCTION TO PROOFS Problem 1(a). P(A) = {, {0}, {2}, {-6}, {0, 2}, {0, -6}, {2, -6}, {, 2, -6}}.
• CHARACTERIZING QUATERNION RINGS OVER AN ARBITRARY BASE
• MATH 052: INTRODUCTION TO PROOFS Problem Score
• ALGORITHMIC ENUMERATION OF IDEAL CLASSES FOR QUATERNION ORDERS
• MATH 052: FUNDAMENTALS OF MATHEMATICS JOHN VOIGHT
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). Apply the Euclidean algorithm to find c 65 (mod 109).
• MATH 251: ABSTRACT ALGEBRA I Problem 1(a). The order of Hn = xn
• MATH 052: INTRODUCTION TO PROOFS REVIEW, EXAM #1
• Math 52 Master Syllabus Fall 2011 Jonathan Sands, Course Coordinator
• EXPLICIT METHODS FOR HILBERT MODULAR FORMS LASSINA DEMBELE AND JOHN VOIGHT
• MATH 052: INTRODUCTION TO PROOFS REVIEW, EXAM #1
• MATH 052: INTRODUCTION TO PROOFS Problem 1(a). False. Valid expressions would be P (Q) or P (Q R).
• MATH 052: INTRODUCTION TO PROOFS Problem Score
• MATH 252: ABSTRACT ALGEBRA II SPRING 2012
• MATH 251: ABSTRACT ALGEBRA I JOHN VOIGHT
• MATH 052: INTRODUCTION TO PROOFS Problem 1(a). P(A) = {, {0}, {2}, {-6}, {0, 2}, {0, -6}, {2, -6}, {, 2, -6}}.
• MATH 251: ABSTRACT ALGEBRA I Problem Score
• COMPUTING ZETA FUNCTIONS OF SPARSE NONDEGENERATE HYPERSURFACES