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In Memory of Michael Trott (1959-2025): Scientist, Mentor, Friend

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Michael Trott was more than a brilliant scientist, he was a mentor, a friend, and a truly unique human being. For those of us lucky enough to work closely with him, his absence leaves a deep void. He brought an irreplaceable blend of curiosity, creativity, and humility to everything he did. Our long meetings, where we'd dive into unconventional ideas in physics and find ways to implement them in Mathematica, often stretched past hours, but no one ever minded. With Michael, even the most abstract idea could spark a new direction, a novel prototype, or an unexplored corner of science.

He didn't just think outside the box, he rebuilt it entirely, quietly and kindly. His codes weren't always optimized for performance, but they were original and beautiful. I have never seen anyone so professional in prototyping novel ideas computationally; and this was our joint passion for Mathematica, as we believed it is one of the best tool, if not the best, for this purpose. One can find a few examples of Michael's style of thinking in the Wolfram Blog, Wolfram Demonstration Project, or Wolfram Community. He was also the author of four seminal books: "The Mathematica GuideBooks" (four volumes).

He had a deep grasp of the history and architecture of Mathematica, with a passion for physics, especially quantum theory, and a genius for applying technology in unexpected ways. Michael Trott joined Wolfram Research in 1994 and was a cornerstone of the company for over 30 years. As Chief Scientist of Wolfram|Alpha, his fingerprints are on thousands of algorithms and innovations, from computational art to physical constants, from parsing human input to building bridges between theoretical physics and computation. The Wolfram Quantum Framework, as a small example, would not have been possible without his support and contributions.

Michael was encyclopedic in knowledge, yet endearingly humble. He read hundreds of papers, built massive daily digests on LLMs, mentored researchers across physics, math, and engineering; and still worried whether he had anything "original" to offer before a scheduled talk at the University of Vienna (see the material he'd prepared for this talk from this link; we even had a dry-run together, to discuss the content repeatedly). His presence was magnetic. He showed up early to Zoom calls (Wolfram Research has many remote employees, including myself, even before COVID pandemic) and sparked thoughtful conversation before meetings began. He didn't just build things but he shared them generously. He brought humanity to everything he touched. Whether discussing quantum fields or life under East Germany's Stasi, he made space for your story too. He helped others grow, quietly and consistently, always leading by example.

Toward the end, we spoke about the multiverse; you were certain we'd meet again. In those final days, lying in your hospital bed, we found ourselves deep in conversation about the quantum-to-classical transition and nonlinearities. Thank you, Michael, for everything. You showed so many of us what it truly means to be both a scientist and a human being.

POSTED BY: Mohammad Bahrami
16 Replies
Posted 4 days ago

Thank you for this post. I knew Michael by reputation for many years through his blog, his books and various other contributions. He always seemed like a wizard to me; one of those people who knew a lot about everything.

I met him at various Wolfram community events over the years (I think in Avignon, 2006 was the first time maybe) and he was kind, engaging and fun to be around.

I am saddened by his passing. He was a great guy.

POSTED BY: Mike Croucher

So sad to hear of Michael's passing. He is one of the people I felt really lucky to have overlapped with, such a lovely and creative person as many have attested.

POSTED BY: Andrew Moylan
Posted 6 days ago

Michael’s passing is a profound loss. I had the privilege of working alongside him at Wolfram’s Champaign office on Wolfram|Alpha. My first professional encounter with Michael, together with Oleg Marichev, was helping me learn all about special functions for a project I was working on. I can only echo what everyone else has expressed: Michael was absolutely brilliant. He always seemed to know the answer, exactly where to look, or instantly recognized if a problem remained unsolved. His role as Chief Scientist of Wolfram|Alpha genuinely reflected the immense breadth and depth of his knowledge.

Beyond his incredible intellect, Michael was among the kindest people I’ve ever known and he was a mentor to me in every sense. He was remarkably approachable, his office was always open. Even if he was briefly tied up, he’d circle back promptly, ready to help or guide. His exceptional consistency, thoroughness, and task management profoundly influenced my professional growth. Observing him manage numerous projects efficiently, kind of like a weighted round robin, addressing quick tasks immediately before seamlessly returning to deeper work, was especially inspiring and instructive. Even after leaving Wolfram Research, I explicitly tried to emulate these qualities in all my subsequent roles. I firmly believe I wouldn’t be where I am today if I hadn’t done this.

About 10 years ago Michael knew I was working a paper regarding various computations involving the Mertens function. By coincidence he happened to have a few weeks access to a supercomputer through The Texas Advanced Computing Center. He thought of me and my paper and offered access, which let me compute many values of ZetaZero and Zeta’ to high precision. He also gave me ideas on how to analyze the data, one of which made it into the paper.

Michael’s playful approach to life could be seen by his choice in license plates, EXP IPI2 and later COS PI17. Inspired by him, I ended up choosing VOXEL for my own plate a few years back.

Another special memory is how Michael diligently scanned through recent academic papers, thoughtfully forwarding relevant discoveries to colleagues, myself included. Even after my departure, I continued receiving these thoughtful emails. The last paper he shared a few months back provided insights into the asymmetry of human lungs, and I still share tidbits from that paper with my colleagues today.

I am profoundly grateful to have known Michael Trott and to have had him as a mentor. His passing is a tremendous loss, both personally and to the world at large.

POSTED BY: Greg Hurst
Posted 8 days ago

I am deeply saddened to hear of Michael's passing. Michael was a brilliant scientist, highly-respected colleague, and, in my humble opinion, the world's preeminent Mathematica programmer. I was extremely lucky to work with Michael in the very early days of Wolfram Alpha. Even after nearly 20 years, Michael remained the smartest, most brilliant person I've had the pleasure of working alongside. Above all, Michael was a gentleman.

POSTED BY: Sam Blake

Very nice post, Mads.

I too will greatly miss Michael. He always knew the answers to my questions—or knew that presently no one did. A rare mind, a good soul, and a great loss to everyone who knew him.

I looked back through my email and my first conversation with him that I could find is from 1992—on Mathematica of course—was when Michael was at Technische Universität Ilmenau and my email was paul@earwax.pd.uwa.oz.au (earwax was my University's Physics Department's PDP-11 and .oz dates back to when universities in Australia were connected only by a network system called ACSnet):

Dear Paul, thanks for your message. Your proposal is exactly what I have done. But a) I want to know a solution from a programming point of view that avoids the application of built in values and b) my hypergeometric functions arise inside a larger program after integration and so I can not (or it is rather difficult) to manipulate by hand. When I use only variables (no exact numbers like 1/2) sometimes the integrals can`t be evaluated.

Two years later, in 1994, I was invited by Allan Wylde from TELOS/Springer-Verlag to review the first draft of Michael's book: "The Mathematica Guidebook: Concepts-Examples-Applications". Allan wrote:

We now have the first part of the book, i.e., the Introduction and the first 6 chapters, ready for review. Note that this is a very "large" ( in terms of page-length) project. We are currently estimating a 1,000-page plus printed book. The manuscript is, however, very legible; it has already been edited once, and it has been a.) translated from the original German into English, b.) converted from Notebooks to tex, c.) poured into the macros/design we've created for the book. (Which, by the way, will be "tweaked" a bit more; we are currently seeing too much white space, there's too much code displayed in the book-- we'll relegate some to the accompanying CD-ROM, and the graphics/illustrations need to be enlarged, somewhat).

Aside: The TELOS project—The Electronic Library of Science—originated in Springer-Verlag's Santa Clara office (by Allan) and was considered "...an ideal combination between the generation of information and the processing of information using old and new media."

I did make some negative comments on the drafts of the print version:

Other pages consisted of interminably long, uncommented Mathematica input or output. No reader (even the most Teutonic) will read all of this! Note that this book can only be profitably read whilst in front of a computer. The reader will then be able to try the input for themselves. No-one should ever have to type in long input (and that is what the CD is for) and long output, especially repetitive output, should be deleted or ellipsis used.

Of course, Michael's Guidebooks ended up being a classic—and the Notebooks and code on the CD-ROM was, and still is, invaluable.

The last time I met Michael in person was when I invited him and Amy Young to give a talk on The State of the Unit at the 2022 Wolfram Summer School held at the Wolfram Research office in Champaign, Illinois. But there were many, many emails exchanged since then.

Finally, I wonder who, if anyone, I can ask deep questions and get detailed, comprehensive answers. And, sadly, I think the answer is there is no other "Michael" out there...

POSTED BY: Paul Abbott

My condolences to the family and friends of Michael. I only briefly interacted with him during the Wolfram Tech. Conf. and during the corona crisis on the fluid mechanics of droplets. I always enjoyed it when he joined a livestream. What I remember most fondly are his amazing and long Wolfram blog posts, still wonderful to read. But I also used his wolfram demonstrations countless times.

Assuming[Peace,EternalRest[]]
POSTED BY: Sander Huisman

Fate is a rotten traitor ...

Michael and I studied physics at Humboldt University in Berlin from 1981 to 1986.

He wasn't allowed to continue his doctorate in Berlin because he refused to assemble shelves when the lab moved. That was not accepted at the time ...

Even during his studies, his endeavor and ability to work through and apply vast amounts of scientific literature was remarkable. In this sense, he was the ideal researcher - in both time directions - knowing the literature and making something new out of it.

One day he told me that he was reading the book „Theorie der algebraischen Funktionen einer Variabeln und ihre Anwendung auf algebraische Kurven und Abelsche Integrale“ by Kurt Hensel and Georg Landsberg from 1902. Many physicists have found that the mathematical literature of earlier years, even earlier generations, is easier to understand than the mathematical writings of the present day. He put this into practice.

The breadth of the horizon was also remarkable, as can be seen in the illustrated book Graphica 1

Graphics back page

And if you look at the literature, you will find, for example, in

NON COMMUTATIVE FINITE DIMENSIONAL MANIFOLDS II: MODULI SPACE AND STRUCTURE OF NON COMMUTATIVE 3-SPHERES

ALAIN CONNES AND MICHEL DUBOIS-VIOLETTE

on page 2 a footnote: [1] We are grateful to Michael Trott for his help

Me too, to say it in the shortest possible form with all the grief.

POSTED BY: Udo Krause
POSTED BY: Udo Krause

I am deeply saddened by the loss of Michael Trott, a brilliant mind and cherished friend.

I had the privilege of sharing an office with Michael in the late 1990s at Wolfram Research, and we stayed in touch over the years. His boundless enthusiasm for Mathematica and computational discovery was infectious, always paired with a generous willingness to share his knowledge. Whether diving into complex problems or sparking insightful discussions,

Michael’s passion left a lasting impact. I will miss him dearly. May his memory inspire us all, and may he rest in peace.

POSTED BY: Unal Goktas

POSTED BY: Ed Pegg

Dear members of the Wolfram Community and friends,

I am deeply saddened by the untimely passing of Michael. I met him in 2000 at Wolfram Research where I was a visiting scholar, and later at several conferences on symbolic computation. I also had the privilege to review his four Mathematica Guidebooks for SIAM review:

https://people.mines.edu/whereman/wp-content/uploads/sites/260/2024/05/Hereman-SIAM-Review-47-4-2006.pdf

https://people.mines.edu/whereman/wp-content/uploads/sites/260/2024/05/Hereman-SIAM-Review-49-1-2007.pdf

Writing these books was a Herculean job to the benefit of all of us.

He has always been very supportive of the efforts of my students and myself in designing software to analyze the integrability and exact solutions of nonlinear PDEs. I am grateful for his advice, friendship, support, and mentorship. My heartfelt condolences and deepest sympathy to Michael's family and friends. He will be dearly missed.

Willy Hereman, Professor Emeritus, Dept. Applied Maths & Stats, Colorado School of Mines

POSTED BY: Willy Hereman
Posted 11 days ago

Thank you for honoring Michael in your post Mads.

I have been astonished over the years (ever since I received my copies of the Mathematica Guidebooks) at his prodigious and prolific contribution to Computational Knowledge. I for one would be very pleased if his legacy and contributions to Wolfram Research was recognised by creating a Chair in his name at Wolfram University and a Fellowship in his name at the Wolfram Institute. Perhaps you could propose this to Stephen. Cheers … Syd Geraghty

POSTED BY: Syd Geraghty
Posted 11 days ago

I'm genuinely shocked and saddened by this news. Michael's Mathematica GuideBooks were my silent companions through the labyrinth of PhD research—those ~5000 pages taught me that Mathematica wasn't just a tool but a way of thinking about mathematics itself. His blog posts were small masterpieces of insight, and I still remember the joy of discovering his elegant approach to programming the Mathematica logo for each version. Though I never had the privilege of meeting him personally, his work profoundly shaped how I approach computational problems every day.

Thank you, Michael, for being a guide to so many of us on this computational journey.
Rest in peace.

POSTED BY: Girish Arabale
Posted 11 days ago

I used to read all of Michael's entire blog. Thanks to him for everything. It's too bad I didn't get to talk to him in person.

POSTED BY: Kirill Belov

Thank you Mads for this post. I learned a great deal from Michael Trott. He surprised me every single time I ask him a question, his response was incredibly quick, concise, and exactly what I needed.

I always try hard to be available when needed at work and be hard worker but watching Trott in action constantly reminded me how much room I still have for improvement.

Mads, you were fortunate to have been so close to him—I wish I had been too. The news hit me very hard.

RIP Michael Trott.

POSTED BY: Ahmed Elbanna
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