Fig Leibnizes

Yesterday, my daughter and I made fig Leibnizes, which consist of a layer of fig paste between two layers of cakey-cookie substance (they’re like fig Newtons, only Newton was kind of a jerk, and there are no trademark issues). They turned out rather well, so I thought that I’d share the recipe here.

The confection in question.

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The Accidental Lawyer

The following is a bit of folklore regarding my father. The basic outlines are correct, though there is likely a little bit of embellishment—this story takes place before my actual memory begins. Of course, the real truth is in a characterization of who may father was: tenacious, brilliant, and hard-headed.

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Thesis Stuff

I officially submitted my Ph.D. thesis yesterday afternoon. It is a tremendous weight off of my shoulders to have that done. I’m going to take a few days off, and then I need to get cracking on a couple of papers.

Because I fought mightily with the LaTeX template provided by UCR, am am also making available my own LaTeX template for a thesis at UCR. It is a highly stripped-down version of the template provided by the university, but it passed all of the formatting reviews, and seems to produce a reasonable product at the end of the day. According to the text at the top of the class file provided by UCR, the template is licensed under the LPPL and has the status ‘unmaintained’. If I read the license correctly, this means that I am free to modify the document and redistribute it as I see fit. However, if anyone wants to tell me otherwise (in particular, anyone listed in the document header), please do so.

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Letter to Chancellor Wilcox

The world is in a state of flux right now, and the Academy is facing a major crisis. In light of this crisis, many students are demanding that grades be eliminated, that finals be cancelled, and that the Academy otherwise shut down. While I am sympathetic to the voices which are calling for such action, I believe that relaxing our standards has the potential to have long-term negative consequences. It is, after all, doctors, nurses, anthropologists, virologists, sociologists, political scientists, epidemiologists, economists, and other experts trained by the Academy who are going to be best placed to steer us through the curren crises and help us to put the pieces back together again in the future. At the risk of Godwinning myself, where would we be now if not for the work of mathematicians and early computer scientists at Bletchley Park?

This afternoon, I communicated the following to the Chancellor’s Office at UCR, and to the chair of my department:

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Dr. Henderson

Last Friday, I successfully defended my Ph.D. thesis. For all intents and purposes, I am now the fourth Dr. Henderson in my line. I follow in the footsteps of my great-grandfather Dr. Norman Batty Henderson D.Div., my grandfather Dr. Norman B. Henderson, Jr., Ph.D., and my father Dr. Eric Henderson Ph.D. This ought to be a moment for pride. And celebration. And excitement. Instead, I feel little more than deep ambivalence.

The last couple of years have taken an incredible toll: my wife of almost 12 years suddenly and unexpectedly ended our marriage, the world has fallen into the grip of a dangerous and fast-moving virus, and my father died. Rather than take this space to discuss my own accomplishments, which feel quite small and inconsequential, I prefer to eulogize my father.

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My Mathematical Genealogy

While at the Joint Mathematics Meetings in January, I attended a talk by Erica Winterer titled Attention Is the Beginning of Devotion: Noticing and Acculturative Routines in a Large Freshman Calculus Course. In this talk, Ms Winterer presented a number of interesting ideas for making students feel more comfortable and welcome in lower-division college mathematics classes.

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Local Fractal Zeta Functions

The 2020 Joint Mathematics Meetings were held in Denver last week. While at the Joint Meetings, I had the opportunity to present some of my more recent work in the AMS Special on Fractal Geometry, Dynamical Systems, and Applications. Slides from the talk are available as in .pdf format.

Abstract

In Fractal Zeta Functions and Fractal Drums, Lapidus et al. study the geometry of bounded subsets of Euclidean space by associating “fractal zeta functions” to these sets. These fractal zeta functions make it possible to rephrase many problems in geometry as problems in complex analysis. The theory can be generalized to a larger class of metric spaces, but the generalization relies on embeddings of a set into an ambient space of known dimension. In this talk, we introduce a notion of “local fractal zeta functions,” which have many properties analogous to those of the fractal zeta functions described by Lapidus et al., but which are defined without embeddings into an ambient space.

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Kites and Darts

My wife and I just bought a house. As part of the move, I decided to give our daughter’s room a more interesting paint job. We finally agreed on a Penrose tiling in purple and pink. It turned out rather well, if I do say so myself:

A Penrose tiling---click for a larger version.

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Fractals 6 Slides

On Saturday, I will be presenting some of my recent work, which extends Michel Lapidus’s theory of complex dimensions in \(\mathbb{R}^n\) to a larger class of homogeneous metric measure spaces. In particular, I will be discussing the complex dimensions of subsets of \(p\)-adic sets. In case they should become necessary: slides for Fractals 6.

Abstract: The higher dimensional theory of complex dimensions developed by Lapidus, Radunović, and Žubrinić provides a language for quantifying the oscillatory behaviour of the geometry of subsets of \(\mathbb{R}^n\). In this talk, we will describe how the theory can be extended to metric measure spaces that meet certain homogeneity conditions. We will provide examples from \(p\)-adic spaces and discuss the geometric information that can be recovered from the complex dimensions in these cases.

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UCR Beamer Template

For those that are interested, my UCR themed Beamer template is available here.

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