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The regular program activities are supplemented by diverse weekly lectures
by faculty preceptors, Mentors, and guests of the program. These lectures
introduce participants to related scientific fields and include discussions
of career development and the ethics and philosophy of science;
relationship between pure and applied science; and career options.
Guest Lectures 2009
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July 7
| David Miller | (Cambridge Googleplex) |
The Mathematics of Google Search |
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July 14
| Farshid Hajir | (University of Massachusetts Amherst) |
The ABC Conjecture |
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July 28
| Steven Miller | (Williams) |
Heuristics and Ballpark Estimates |
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July 30
| Keith Conrad | (University of Connecticut) |
Pythagorean Triples |
Guest Lectures 2008
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July 8
| Keith Conrad | (University of Connecticut) |
Applications of Pell’s Equations |
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July 11
| Paul Gunnells | (University of Massachusetts Amherst) |
Configuration Spaces |
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July 25
| Steven J. Miller | (Williams) |
The Pythagorean Won-Loss Formula in Baseball |
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August 1
| Farshid Hajir | (University of Massachusetts Amherst) |
Asymptotically Good Families of Graphs |
Guest Lectures 2007
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July 6
| Jon Hanke | (Duke University) |
Geometry of Affine and Projective Space |
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July 13
| Keith Conrad | (University of Connecticut) |
A Universal Divisibility Test |
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July 16
| Steven Miller | (Brown) |
Benford’s Law: From Number Theory to the IRS |
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July 27
| David Jao | (University of Waterloo) |
Elliptic Curve Cryptography |
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August 3
| Keith Conrad | (University of Connecticut) |
Counting in Z[√d] |
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August 6
| Ander Steele | |
Carmichael Numbers in Number Rings |
Guest Lectures 2006
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July 26
| Matthew Szudzik | (Wolfram Research) |
Antor's Absurd Question |
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July 27
| Jon Hanke | (Duke University) |
Exact Formulas for Representing Numbers by a Quadratic Form |
Guest Lectures 2005
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July 15
| Matthew Szudzik | (Wolfram Research) |
Who was Laszlo Kalmar and what were his functions? |
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July 18
| Curt Monash | (Monash Information Services) |
The Power of Maybe |
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July 29 | Kiran Kedlaya | (MIT) |
Elliptic Curves |
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August 2 | Cleve Moler | (The MathWorks, Inc.) |
The Evolution of MATLAB |
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August 4 | Keith Conrad | (University of Connecticut) |
Check Digits |
Guest Lectures 2004
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July 16
| Robert Pollack | (Boston University) |
Unique Factorization and Diophantine Equations |
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July 19
| Ira Gessel | (Brandeis University) |
The Chung-Feller theorem |
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July 21 | Matthew Szudzik | (Wolfram Research) |
Exploring Recursively Defined Sequences |
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August 2 | David Jao | (Microsoft Research) |
Codebreaking |
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August 4 | Keith Conrad | (University of Connecticut) |
Quaternions |
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August 6 | Paul Gunnells | (UMass Amherst) |
Diophantine Equations in Polynomials |
Guest Lectures 2003
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August 3 | Keith Conrad | (UC San Diego) |
The End of Continued Fractions |
| August 5 | Henry Cohn | (Microsoft Research) | Self-reference |
Guest Lectures 2002
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July 17 | David Miller | (Aventis Pharmaceuticals) | Bioinformatics and Gene Expression Analysis |
| July 19 | Henry Cohn | (Microsoft Research) | Sphere Packing |
| July 31 | Jonathan Lubin | (Brown University) |
p-adic Numbers |
| August 2 | Paul Gunnells | (UMass Amherst) |
Continued Fractions and Hyperbolic Geometry |
| August 9 | Keith Conrad | (UC San Diego) |
Sums of Three Squares |
Guest Lectures 2001
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July 27 | David Jao | (Harvard University) | 41 Primes in a Row |
| August 3 | Dev Sinha | (University of Oregon) | Some Knotty Problems |
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