The TL;DR is that the "Catalogue of Mathematical Objects" project I announced 
in a talk at CICM 2023 may now recruit a doctoral student. This is a full-time 
5 year employment (80% research + 20% teaching).

Closing date for application: 2024-05-06
Location: Mälardalen University, Västerås, Sweden
Link to formal announcement: 
https://eur02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fweb103.reachmee.com%2Fext%2FI018%2F1151%2Fjob%3Fsite%3D8%26lang%3DUK%26validator%3D2efd9e54ee423d53334ac7960e3b4e03%26job_id%3D2404&data=05%7C02%7C%7Ccfe0403b01df4b9a755108dc5d1cd0d6%7Ccc7df24760ce4a0f9d75704cf60efc64%7C0%7C0%7C638487626896342837%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=jAypOF8zgsnttK5Se8pAzc%2FSc2Z%2FfyWwOpJ0fJhxftI%3D&reserved=0

This is part of a broader investment in interdisciplinary research (math + 
something else); there are 5–6 positions offered, and several projects for 
applicants to choose between. See below for the description of this MKM project.

Note also that this is not exclusively an applied project; rather there is a 
component of doing "ordinary" research in mathematics (quite possibly pure 
math), intended to foster an understanding in the community aspects of 
mathematical research. Thus for a student with aptitude for programming, but 
whose research interests are more in pure math, this could be a good 
opportunity.


Catalogue of Mathematical Objects

The goal of this project is ultimately to create a new branch of the 
mathematics literature, that focuses on examples and definitions rather than 
theorems. The reason for doing this is that having the right examples to study 
is often crucial for making progress on a research problem, but traditional 
publication puts little weight on examples, so finding one with sought 
properties in the literature can be close to hopeless.

The idea is to set up a database of mathematical objects — their constructions 
and properties, as well as the definitions of those properties, and whatever 
additional materials might be appropriate to get a grip on them – which is 
searchable online, and where mathematicians may publish such nuggets which 
would not fit as separate works in traditional journals. As with Wikipedia, 
content would be user-generated and user-reviewed, but unlike Wikipedia it 
would be open for claims not previously published elsewhere. Because examples 
conversely do not have to be new, the threshold for contributing to a field 
where one is not an expert is lowered, encouraging cross-disciplinary 
advancements.

The successful applicant would participate in building the infrastructure for 
the Catalogue. Parts of this will involve creating the website, and experience 
of this is a merit of note. Likewise experience of software development where 
there is not tight integration; various technologies to be employed in the 
Catalogue include TeX, graph databases of the RDF kind, and digital signatures. 
Familiarity with these is a plus, but on several points not expected. 

The successful applicant would also conduct research in mathematics unrelated 
to the Catalogue; the area here is not constrained, except that it must be in 
some area for which the MDU math department can provide qualified supervision. 
The purpose of this is that the applicant should develop an understanding of 
and familiarity with the practices of the mathematics research community at 
large, since that will make the applicant better equipped to make sound 
decisions on the design of the Catalogue.

Moreover this is a multidisciplinary position. The successful applicant will 
get a cosupervisor from outside the math department, with expertise in the 
development of (as appropriate) products, services, organisations, etc. Such 
methods shall be used to scientifically evaluate and improve how the Catalogue 
works together with its users, for example to identify workflows that are 
unnecessarily cumbersome or details that lend themselves to destructive 
behaviour. Part of the research time will be spent with the research group of 
this cosupervisor, to develop a practical understanding of the methods and 
theories used there.

It is expected that the resulting thesis will contain material both on the work 
with the Catalogue and from the unrelated mathematics research.

Principal investigator:
Lars Hellström <[email protected]>

Slides of recent presentation (held for a "general audience" at an 
algebra/geometry workshop):
https://eur02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.noncommutativegeometry.se%2Fsnag%2F2024%2Ftalks%2FSNAG2024_Lars_Hellstrom.pdf&data=05%7C02%7C%7Ccfe0403b01df4b9a755108dc5d1cd0d6%7Ccc7df24760ce4a0f9d75704cf60efc64%7C0%7C0%7C638487626896342837%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=MaR9WoLLmjzhXQkqHnYI8pUcmeBpEEC10Etl7WXUyNc%3D&reserved=0


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