What's new?

• I have published a chess e-book! Dynamic Chess Middlegames: A practical guide Here is the link: https://a.co/d/cDmkgu7

• Paper with Schardine Ryan, and Shanmugalingam Nageswari: On Carrasco Piaggio's theorem connecting combinatorial modulus and Ahlfors regular conformal dimension is accepted for publication.

• Latest preprint: E. B., Mishra Riddhi: On removable sets for weighted Sobolev functions (Submitted; arXiv)

• Paper with K. Rajala "Conformal uniformization of domains bounded by quasitripods" is accepted to Duke Mathematical Journal!

• I gave two virtual talks at COMPASS SEMINAR SERIES. See Research on this website for links to videos and slides.

• We updated our Conformal Uniformization paper (ArXiv) after referee comments.

• 14'th ORAM was a really nice conference here at home! A lot of interesting and engaging talks.

• Talk at Analysis Seminar here at UC on Monday Feb 17th, 2025: On motivations for measures on the Euclidean space other than the Lebesgue.

• I got very interested in doubling measures on Euclidean spaces! Reading and loving Heinonen's book.

• Enjoying teaching a STAT course for the first time. Lucky to have one of the most enthusiastic group of students.

• Dec 7: Paper with Schardine Ryan, and Shanmugalingam Nageswari: On Carrasco Piaggio's theorem connecting combinatorial modulus and Ahlfors regular conformal dimension (Submitted)

• Vigorously applying for jobs, beginning in or near Aug 2025! Assistant and PostDocs.

• Nov 8, 2024. Talk at Analysis Seminar, UC

• AMS Fall Eastern Sectional Meeting in Albany, NY, Oct 19-20, 2024. I gave a 20-min talk.

• Bowling Green State University on Friday Oct 11, 2024: colloquium talk!

• On Sep 20 I will compete in a "present your research in 3 minutes!" Pitch competition for PostDocs (university wide). Wish me luck :)

• I released a graduate calculus course on Udemy. "Whether you are preparing for a Prelim exam in advanced calculus, or have a student preparing for one, this course will give the right tools and tricks. I cover the theory and solve many sample questions, explaining the thought process leading to the discovery of solutions. Use the code Young_Measures_ Udemy to get your lifelong free access:Click here to go to Udemy. Please leave a rating and review!" Behnam 

• Teaching Applied Calculus 1 (65 students) and Stem Prep 1 ( 35 students) in Fall 2024.

• Buckeye Metric Geometry Workshop. August 16-18, 2024, Ohio State University, Columbus, OH (I gave a 30-min talk.)

• A whole new series of video lectures on the Heisenberg group @YoungMeasures

• Completed the chapter on Newtonian-Sobolev functions @YoungMeasures: Link here.

• Esmayli Behnam, Rajala Kai: Conformal Uniformization of domains bounded by quasitripods, https://arxiv.org/abs/2401.08485 (Jan 2024)

• I have added many videos on Newtonian-Sobolev functions to @YoungMeasures.

• I am teaching one course (business calculus) in Spring 2024. I have some new ideas in calculus teaching that I am trying out on (poor) them!

• I taught two courses during Fall 2023. It was tough and took me time to figure the workings out, but came on top!

• My Postdoc at University of Jyvaskyla ended Sept 25. I have started as VAP at University of Cincinnati, OH.

• I have started Analysis on Metric Spaces video series on YouTube: https://youtu.be/NKIIKzlYznI

• I have had to cancel my registration for the big conference in Helsinki in August (in honor of Mario Bonk). That is sad :( But I plan, at least for now, to join the summer school here in Jyvaskyla. David Bates will give some lectures.

• Japan, Okinawa was very nice! Great trip, great mathematics, great people.

• Conference: Potential theory and random walks in metric spaces, Okinawa Institute of Science and Technology, Okinawa, Japan. May 30-June 2, 2023. I will give a talk.

• Conference: Metric Analysis, Parametrizations, and Surfaces (MAPS), University of Fribourg, Switzerland, 13. - 15. April 2023 

• Very excited about teaching a graduate complex analysis 2 course beginning in March 2023. Have been preparing intensely!

• Talk at AMS Eastern Sectional Meeting coming up: Special Session on Quasiconformal Analysis and Geometry on Metric Spaces, I 

• Applying for jobs that begin in Fall 2023. See my updated teaching portfolio.

• Talk: Nov 30, Analysis Seminar,  University of Jyväskylä on this paper of mine with (Piotr Hajlasz): "Lipschitz mappings, metric differentiability, and factorization through metric trees (arXiv:2106.15763)"

• Talk at BIRS conference (Canada) on Nov 25. Coarea inequality for sobolev functions on metric surfaces

• Coarea Inequality for Monotone Functions on Metric Surfaces, Behnam Esmayli, Toni Ikonen, Kai Rajala, now on arxiv here.

• Paper with Piotr Hajlasz, Lipschitz mappings, metric differentiability, and factorization through metric trees (arXiv:2106.15763) is accepted in the Journal of the London Mathematical Society 

• Geometric Measure Theory book review: PDF here and video here.

• Chapter on Coarea Formula is completed on my YouTube channel. Direct link .

• On my YouTube channel : area formula (GMT). 

• Talk: Analysis Seminar at University of Jyväskylä,  Dec 15, in-person and on Zoom. Title: Weighted coverings and the Hausdorff measure (Slides from the talk)

• Talk: Wednesday November 17, Analysis Seminar at the University of Tennessee, Knoxville. On equivalent assumptions in the (metric) implicit function theorem, Organizer: Vyron Vellis

• In-person conference, Aalto University, October 27–29, 2021. Conference website: http://math.aalto.fi/conferences/agent2021/ 

• My thesis is now freely available on Pitt website: http://d-scholarship.pitt.edu/41368/ (PhD thesis: Geometric Function Theory in Metric Spaces, 2021)

• Everything I touch these days leads to fat Cantor sets and maps with low rank, or those that factor through a tree!

• In Finland -- finally! It was a lengthy process to have all immigration formalities in place, but we made it. I love my office and everyone here is so warm and welcoming. Looking forward to a good start.

• Received my AMS vest from the MRC I joined in June :) It is quite dull in color, but... I am happy I got it.

• New paper on ArXiv: Lipschitz mappings, metric differentiability, and factorization through metric trees, Behnam Esmayli, Piotr Hajłasz, 2021

• I am excited for a Postdoc offer at the University of Jyväskylä (Finlan). I will begin September 2021.

• I just defended my thesis at the University of Pittsburgh -- June 30! Here are my presentation slides.

• I have launched my YouTube channel where I solve advanced calculus/analysis problems. Please SUBSCRIBE!

• My collection of advanced calculus problems is growing!

• Check out my two PDF's on Hessian Matrix and Multivariable Taylor's Theorem that I prepared for an advanced calculus course that I TA for.

• As a member of math Graduate Student Organization, I am helping resume the graduate seminars beginning Monday 2/15.

• Gave a talk on 2/11/2021 that was basically a survey of area and coarea formulas for metric target spaces. Slides here.

• Working on a functional $H^{2,m}(f,A)$ where $f:R^n \to X$ is Lipschitz and $A$ is a subset of domain so that $H^{2,m}(f,A)=0$ implies that $f$ factors through a metric tree. This has connections to the coarea inequality and coarea formula.

• (Ongoing) I am a participant in AMS MRC, Analysis on Metric Spaces, June 13 – 19, 2021 (Initially planned for summer 2020, there are currently active meetings every month, see schedule here.)  Topics I have enjoyed learning about so far: first order calculus on metric measure spaces, quasiconformal maps.

• Working on coarea formula both in Euclidean and in metric space setting.  Despite being a classical result, many interesting questions come up once you dig deeper! These days I wonder what the simplest pat to the proof of the coarea formula in Euclidean space might be!

• Applying for (academic) jobs! Wish me luck.