Blog

Here is a directory for my blog posts.

3/26/26 Some Theory of Curves
12/11/25 The Hodge decomposition for curves
9/6/25 Coherence is not a good notion in smooth geometry
8/18/25 Constructions involving quasicoherent sheaves
7/20/25 Symbol of an operator
5/19/24 Nontrivial Cohomology
7/10/23 Some Updates
7/24/22 The growth of entire functions and their zeros
7/12/22 There is no minimal rate of decay on the terms of a convergent series
6/23/22 A Reconstruction Problem
6/6/22 Zariski Topology
3/27/22 Blaschke Products and Boundary Behavior of Holomorphic Functions
3/25/22 Cauchy's Estimate
2/10/22 Analyticity of Harmonic Functions
12/20/21 Burnside's Lemma and Cayley's Theorem
12/20/21 Basic Convergence Theorems of the Lebesgue Integral
12/18/21 Complex and Fréchet Differentiability
12/13/21 Constructing Measures: Carathéodory's Theorem
8/19/21 Completion of the REU and other present happenings
7/25/21 Denseness of Rationals: Finitely generated subgroups are not necessarily discrete
6/24/21 Fixing Childhood Misconceptions: Bump Functions and Divergent Evolution
6/21/21 Matrix Lie Groups
3/11/21 Updates
12/13/20 Cracking an interesting problem in linear algebra
11/8/20 Hiatus and Current (haha) happenings
8/25/20 Signature of a Permutation
8/12/20 Road to the Implicit Function Theorem: Part 2 – Kantorovich's Theorem
7/17/20 Road to the Implicit Function Theorem: Part 1 – Lipschitz Ratios and Newton's Method
7/15/20 Multiples of $m$ span the residues modulo $n$ if $m,n$ are coprime
7/12/20 Direct Sums
6/25/20 The Summer is Here!
5/21/20 QM-AM Inequality
5/8/20 What is the shape of water rotating in a bucket?
4/1/20 Manifolds (Kind Of)
3/8/20 The Contraction Mapping Theorem
2/20/20 I dunno
12/20/19 Asymptotics and the Prime Number Theorem
12/19/19 The Equation of Continuity
12/8/19 $\leq 20$ points!
11/24/19 Manipulation
11/17/19 A Not-So Geometry Problem
11/11/19 A Snail's Backlog
10/28/19 Peak Unproductivity
10/6/19 Centering Karel
9/25/19 Coupled Oscillation
8/13/19 Derangements
8/12/19 Another cute one
8/10/19 What goes around comes around
7/22/19 Strengthening a solution to a combinatorial problem
6/25/19 Classical physics is pretty
6/23/19 The Classic...
6/19/19 Inequalities
6/14/19 The Convective Derivative and Incompressible Flow
6/7/19 ICM Problems
6/2/19 Late-night productivity!
6/2/19 Varignon's Theorem
6/1/19 What force functions satisfy shell theorem?
5/12/19 Freaking Brilliant.
5/4/19 Random Combo
4/6/19 Ahhh...theory, theory, theory.
4/4/19 I should be doing history homework but...
4/2/19 Stuck.
3/26/19 Capacitance
3/20/19 Expansion to the first order in \(\mathrm{d}z\)
3/19/19 Physics is hard...
3/4/19 I think I've solved it!
3/3/19 Current Progress on the Rounding Sequence
2/8/19 Stumbling Around
1/3/19 Random Counting
12/29/18 Interesting Inequality