Photo courtesy of Marcy L. Daniels 

Harris B. Daniels  
office  203 Seeley Mudd 
hdaniels AT amherst DOT edu  
phone  4135425656 
office hours  M: 10:00am  10:50am & 1:00pm  3:00pm W: 10:00am  10:50am & 2:00pm  3:00pm F: 1:00pm  2:00pm 
about me 
My research interests lie generally in the field of algebraic number theory and arithmetic geometry, but more specifically include elliptic curves, hyperelliptic curves, and Galois representations associated to torsion points of elliptic curves. I received my Ph.D. in 2013 under Álvaro LozanoRobledo. 
CV  
Research Statement  
Teaching Statement  
current courses  Math 105  Calculus with Algebra 
Math 271  Linear Algebra  
past courses  Math 111  Introduction to the Calculus 
Math 271  Linear Algebra  
Math 350  Groups, Rings and Fields  
Math 355  Introduction to Analysis  
Math 359  An Introduction to the padic Numbers  
Math 450  Functions of a Real Variable  
Publications  
[9]  Torsion subgroups of rational elliptic curves over the compositum of all extensions of generalized D_{4}type (Submitted, Magma Code) 
[8]  Bounds of the rank of the MordelWeil group of jacobians of hyperelliptic curves (Submitted, Magma Code and Data) joint with Álvaro LozanoRobledo and Erik Wallace 
[7]  What is... an Elliptic Curve (Notices of the American Mathematical Society., Vol 64, Issue 3, March 2017, pp. 241243) joint with Álvaro LozanoRobledo 
[6]  On the Ranks of Elliptic Curves with Isogenies (Int. J. Number Theory 13 (2017), no. 9, 2215–2227, Data) joint with Hannah Goodwillie 
[5]  Torsion Points on Rational Elliptic Curves Over the
Compositum of All Cubic Fields (To Appear in Math. Comp.) joint with Álvaro LozanoRobledo, Filip Najman, and Andrew V. Sutherland 
[4]  Elliptic curves with maximally disjoint division fields (Acta Arith., Vol. 175, No. 3 (2016), 211223) joint with Jeffrey Hatley and James Ricci 
[3] 
On the Number of Isomorphism Classes of CM Elliptic Curves Defined Over a Number Field, joint with Álvaro LozanoRobledo (J. Number Theory, Volume 157, December 2015, Pages 367–396) 
[2] 
An Infinite Family of Serre Curves (J. Number Theory, Volume 155, October 2015, Pages 226–247) 
[1] 
Siegel Functions, Modular Curves, and Serre's Uniformity Problem (Albanian J. Math. 9, (2015), no. 1, Pages 329. ) 
[0] 
Ph.D. Thesis: Siegel Functions, Modular Curves, and Serre's Uniformity Problem (DigitalCommons) 