# Álvaro Lozano-Robledo

less info
reputation
824
bio website alozano.clas.uconn.edu location age member for 2 years, 6 months seen 12 mins ago profile views 597

======================

Álvaro Lozano-Robledo

Assistant Professor of Mathematics

Associate Director of the Quantitative Learning Center

Department of Mathematics, Univ. of Connecticut

======================

 33 Proof that $C\exp(x)$ is the only set of functions for which $f(x) = f'(x)$ 14 Ratio of circumference to radius 13 $\lim_{n\rightarrow \infty}(1+\frac{r}{n})^n$ is equal to ${e^{r}}$? 12 Prime Number Generator: $n\cdot2^n - 1$? 9 Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?

# 6,891 Reputation

 +20 Computing the kernel of an isogeny between two elliptic curves +10 Order of a point on an Elliptic Curve +10 Isogeny of an elliptic curve +10 There is no Pythagorean triple in which the hypotenuse and one leg are the legs of another Pythagorean triple.

# 5 Questions

 44 What is your favorite application of the Pigeonhole Principle? 7 Elementary proof of $\mathbb{Q}(\zeta_n)\cap \mathbb{Q}(\zeta_m)=\mathbb{Q}$ when $\gcd(n,m)=1$. 6 Primes of the form $p=a^2-2b^2$. 5 Favorite problems that lead to interesting diophantine equations? 3 Reference request for “Weierstrass equation” and “Weierstrass normal form”

# 97 Tags

 188 elliptic-curves × 77 53 diophantine-equations × 18 129 number-theory × 44 52 algebraic-number-theory × 22 64 elementary-number-theory × 22 40 algebraic-geometry × 15 61 calculus × 15 37 algebra-precalculus × 10 58 abstract-algebra × 17 28 field-theory × 8

# 4 Accounts

 Mathematics 6,891 rep 824 MathOverflow 1,101 rep 813 Physics 161 rep 3 TeX - LaTeX 101 rep 1