[TYPES/announce] PhD position "Efficient and natural proofs and algorithms" at University of Bath

2019-12-20 Thread Willem Heijltjes
[ The Types Forum (announcements only),
 http://lists.seas.upenn.edu/mailman/listinfo/types-announce ]

We are recruiting for a PhD position "Efficient and natural proofs and 
algorithms"

  Funding:  Competition funded (EU/UK)
  Deadline:  9 February  2020
  Start:28 September 2020 (anticipated)

  People:   Dr. Alessio Guglielmi   a.guglie...@bath.ac.uk
Dr. Willem Heijltjesw.b.heijlt...@bath.ac.uk

  Mathematical Foundations Group
  Department of Computer Science
  University of Bath


= Description =

Proofs and algorithms are everyday objects in our discipline, but they are 
still very mysterious. Suffice to say that we are currently unable to decide 
whether two given proofs or two given algorithms are the same; this is an old 
problem that dates back to Hilbert. Also, proofs and algorithms are intimately 
connected in the most famous open problem in mathematics: P vs NP. 

We make progress by trying to unveil the fundamental structure behind proofs 
and algorithms, what we call their semantics. In other words, we are interested 
in the following questions: 

  What is a proof? 
  What is an algorithm? 
  How can we define them so that they have efficient and natural semantics? 

The questions above are interesting in their own right, but we note that 
answering them will enable technological advances of great impact on the 
society and the economy. For example, it will be possible to build a worldwide, 
universal tool for developing, validating, communicating and teaching 
mathematics. Also, quickly producing provably bug-free and secure software will 
become possible, so solving one of the most complex and important open 
engineering problems. 

In order to understand proofs and algorithms we create new mathematics starting 
from proof theory and semantics. The methods we use are mostly discrete, 
algebraic and combinatorial, but there is a growing geometrical component. The 
recent advances which our methods are mostly based on are linear logic, game 
semantics and deep inference. 

You can find more information at 

  http://alessio.guglielmi.name/res/cos/ 
  http://www.bath.ac.uk/projects/mathematical-foundations-of-computation/

Our group is very well financed via several grants. Thanks to our international 
relations, working with us means having a truly multicultural experience 
together with all the researchers at the forefront of this worldwide research 
effort. As a result, all our graduates work and publish at the highest level. 
For example, one of our recent PhDs, Anupam Das, has won a prestigious UKRI 
Future Leaders Fellowship in 2019, worth £1.5M. The facilities at the 
University of Bath are outstanding and the city is so beautiful that UNESCO 
recognises it as a World Heritage Site. 


= Contact =

For questions about the project or the application process, please contact us: 
  Alessio Guglielmi   a.guglie...@bath.ac.uk
  Willem Heijltjesw.b.heijlt...@bath.ac.uk


= How to apply =

Applicants should hold, or expect to gain, a First Class or good Upper Second 
Class Honours degree in Mathematics or Computer Science, or the equivalent from 
an overseas university. A master’s level qualification would be advantageous. 

Formal applications should be made via the University of Bath’s online 
application form for a PhD in Computer Science: 

  
https://samis.bath.ac.uk/urd/sits.urd/run/siw_ipp_lgn.login?process=siw_ipp_app=RDUCM-FP01=0014

Anticipated start date: 28 September 2020.


= Funding =

Research Council funding is available on a competition basis to Home and EU 
students who have been resident in the UK for 3 years prior to the start of the 
project. For more information on eligibility, see:

  
http://epsrc.ukri.org/skills/students/guidance-on-epsrc-studentships/eligibility/

Funding will cover Home/EU tuition fees, a stipend (£15,009 per annum for 
2019/2020) and a training support grant of £1,000 per annum for 3.5 years. 

Applicants classed as Overseas for tuition fee purposes are NOT eligible for 
funding; however, we welcome all-year-round applications from self-funded 
candidates and candidates who can source their own funding.






[TYPES/announce] PhD position "Efficient and natural proofs and algorithms" at University of Bath

2018-09-20 Thread Willem Heijltjes
[ The Types Forum (announcements only),
 http://lists.seas.upenn.edu/mailman/listinfo/types-announce ]

We are recruiting for a PhD position "Efficient and natural proofs and 
algorithms"

  Funding:  Competition funded (EU/UK)
  Deadline: 31 October 2018 - early application recommended
  Start:Before 1 April 2019

  People:   Dr. Alessio Guglielmi   a.guglie...@bath.ac.uk
Dr. Willem Heijltjesw.b.heijlt...@bath.ac.uk

  Mathematical Foundations Group
  Department of Computer Science
  University of Bath


= Description =

Proofs and algorithms are everyday objects in our discipline, but they are 
still very mysterious. Suffice to say that we are currently unable to decide 
whether two given proofs or two given algorithms are the same; this is an old 
problem that dates back to Hilbert. Also, proofs and algorithms are intimately 
connected in the most famous open problem in mathematics: P vs NP. 

We make progress by trying to unveil the fundamental structure behind proofs 
and algorithms, what we call their semantics. In other words, we are interested 
in the following questions: 

  What is a proof? 
  What is an algorithm? 
  How can we define them so that they have efficient and natural semantics? 

The questions above are interesting in their own right, but we note that 
answering them will enable technological advances of great impact on the 
society and the economy. For example, it will be possible to build a worldwide, 
universal tool for developing, validating, communicating and teaching 
mathematics. Also, quickly producing provably bug-free and secure software will 
become possible, so solving one of the most complex and important open 
engineering problems. 

In order to understand proofs and algorithms we create new mathematics starting 
from proof theory and semantics. The methods we use are mostly discrete, 
algebraic and combinatorial, but there is a growing geometrical component. The 
recent advances which our methods are mostly based on are linear logic, game 
semantics and deep inference. 

You can find more information at 

  http://alessio.guglielmi.name/res/cos/ 

Our group is very well financed via several grants. Thanks to our international 
relations, working with us means having a truly multicultural experience 
together with all the researchers at the forefront of this worldwide research 
effort. As a result, all our graduates work and publish at the highest level. 
The facilities at the University of Bath are outstanding and the city is so 
beautiful that UNESCO recognises it as a World Heritage Site. 


= Contact =

For questions about the project or the application process, please contact us: 
  Alessio Guglielmi   a.guglie...@bath.ac.uk
  Willem Heijltjesw.b.heijlt...@bath.ac.uk


= How to apply =

Applicants should hold, or expect to gain, a First Class or good Upper Second 
Class Honours degree, or the equivalent from an overseas university. A master’s 
level qualification would also be advantageous. 

Formal applications should be made via the University of Bath’s online 
application form for a PhD in Computer Science: 

  
https://samis.bath.ac.uk/urd/sits.urd/run/siw_ipp_lgn.login?process=siw_ipp_app=RDUCM-FP01=0013
 

Application deadline: 31 October 2018. 

Note: We are hoping to fill this position as quickly as possible and 
applications may close earlier than the advertised deadline if a suitable 
candidate is found; early application is therefore recommended.

Start date: negotiable, but by 1 April 2019 at the latest.

See also the advertisement here:

  https://www.findaphd.com/search/ProjectDetails.aspx?PJID=100543


= Funding =

Research Council funding is available on a competition basis to Home and EU 
students who have been resident in the UK for 3 years prior to the start of the 
project. For more information on eligibility, see:

  https://epsrc.ukri.org/skills/students/help/eligibility/

Funding will cover Home/EU tuition fees, a stipend (£14,777 per annum for 
2018/19) and a training support fee of £1,000 per annum for 3.5 years. 

Applicants classed as Overseas for tuition fee purposes are NOT eligible for 
funding; however, we welcome all-year-round applications from self-funded 
candidates and candidates who can source their own funding.