Harmonic analysis
Fourier analysis, restriction theory, maximal operators, and the geometry behind oscillatory phenomena.
Analysis An independent mathematical space
Mathematics,
openly.
Research, exposition, and the occasional beautiful detour. A place to think carefully, share ideas, and remain curious.
fig. 01 — intersections & oscillations
01 / RESEARCHIdeas in progress
Research interests
Questions worth pursuing.
My interests sit at the intersection of analysis, geometry, and combinatorics.
Geometric measure theory
Projection theorems, fractal geometry, distance sets, and quantitative questions about small sets.
GeometryCombinatorial structures
Finite abelian groups, translational tilings, and structural questions connecting algebra and combinatorics.
CombinatoricsPublications & preprints
Coming soonResearch papers and links to arXiv will be added here.
02 / WRITINGNotes & exposition
The notebook
Thinking in public.
Short explanations, longer essays, questions, and ideas that are still taking shape.
Why “clopen”?
A small topological word, a useful mathematical idea, and the origin of this site's name.
03 / EXPERIMENTSPlay with an idea
Interactive mathematics
See the structure.
Some concepts are easier to understand when you can move a parameter and watch what changes.
LIVE DEMONSTRATION
Building a square wave with Fourier series
Move a slider and observe the partial sums of an oscillatory series.
Open experimentAbout this space
A home for curiosity.
Clopenly is an independent mathematical project by a group of passionate people.
This is an early version of the site. Contact information, a CV, and publication links can be added next.