Research in applied algebra
Clash Royale CLAN TAG#URR8PPP
up vote
7
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favorite
I am in my final year of my doctoral study in Mathematics, where my research topic is $p$-groups, specifically classification of $p$-groups by coclass. My work involves a great deal of computation in GAP. I really like programming and have knowledge in C, MatLab and Mathematica.
So far all my research is in pure math but for my post-doctoral research I would like to research some applications of algebra/group theory. I don't have sufficient knowledge in this regard though I have heard that genomics and crystallography both rely on applied algebra.
I would appreciate learning of some areas/fields where I can apply computational applied algebra as well as institutions/centers and/or scholars whom I could contact. Regarding location, I am open to any place but in specific I am looking for some positions in USA & Canada, Europe & UK or in Australia & New Zealand.
gr.group-theory soft-question computational-group-theory
asked Sep 9 at 5:37
usermath
1445
 |Â
show 8 more comments
up vote
7
down vote
favorite
I am in my final year of my doctoral study in Mathematics, where my research topic is $p$-groups, specifically classification of $p$-groups by coclass. My work involves a great deal of computation in GAP. I really like programming and have knowledge in C, MatLab and Mathematica.
So far all my research is in pure math but for my post-doctoral research I would like to research some applications of algebra/group theory. I don't have sufficient knowledge in this regard though I have heard that genomics and crystallography both rely on applied algebra.
I would appreciate learning of some areas/fields where I can apply computational applied algebra as well as institutions/centers and/or scholars whom I could contact. Regarding location, I am open to any place but in specific I am looking for some positions in USA & Canada, Europe & UK or in Australia & New Zealand.
gr.group-theory soft-question computational-group-theory
asked Sep 9 at 5:37
usermath
1445
1
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
1
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
3
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
2
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
1
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53
 |Â
show 8 more comments
up vote
7
down vote
favorite
up vote
7
down vote
favorite
I am in my final year of my doctoral study in Mathematics, where my research topic is $p$-groups, specifically classification of $p$-groups by coclass. My work involves a great deal of computation in GAP. I really like programming and have knowledge in C, MatLab and Mathematica.
So far all my research is in pure math but for my post-doctoral research I would like to research some applications of algebra/group theory. I don't have sufficient knowledge in this regard though I have heard that genomics and crystallography both rely on applied algebra.
I would appreciate learning of some areas/fields where I can apply computational applied algebra as well as institutions/centers and/or scholars whom I could contact. Regarding location, I am open to any place but in specific I am looking for some positions in USA & Canada, Europe & UK or in Australia & New Zealand.
gr.group-theory soft-question computational-group-theory
asked Sep 9 at 5:37
usermath
1445
I am in my final year of my doctoral study in Mathematics, where my research topic is $p$-groups, specifically classification of $p$-groups by coclass. My work involves a great deal of computation in GAP. I really like programming and have knowledge in C, MatLab and Mathematica.
So far all my research is in pure math but for my post-doctoral research I would like to research some applications of algebra/group theory. I don't have sufficient knowledge in this regard though I have heard that genomics and crystallography both rely on applied algebra.
I would appreciate learning of some areas/fields where I can apply computational applied algebra as well as institutions/centers and/or scholars whom I could contact. Regarding location, I am open to any place but in specific I am looking for some positions in USA & Canada, Europe & UK or in Australia & New Zealand.
gr.group-theory soft-question computational-group-theory
gr.group-theory soft-question computational-group-theory
asked Sep 9 at 5:37
usermath
1445
asked Sep 9 at 5:37
usermath
1445
edited Sep 10 at 0:50
asked Sep 9 at 5:37
usermath
1445
asked Sep 9 at 5:37
usermath
1445
asked Sep 9 at 5:37
usermath
1445
1445
1
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
1
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
3
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
2
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
1
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53
 |Â
show 8 more comments
1
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
1
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
3
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
2
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
1
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53
1
1
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
1
1
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
3
3
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
2
2
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
1
1
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53
 |Â
show 8 more comments
2 Answers
2
active
oldest
votes
up vote
9
down vote
accepted
In the UK, there is the Applied Algebra and Geometry Research Network. You could browse the list of former speakers and abstracts for ideas.
The University of St Andrews has a strong group in Combinatorics and Algebra, with some members (such as Rosemary Bailey) working on computations and applications.
In Ireland, Graham Ellis's group at NUI Galway is very active in the field of computational algebra.
In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular Bernd Sturmfels' group works on applications of algebra to non-linear models
answered Sep 9 at 9:37
Mark Grant
20.8k654126
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
add a comment |Â
up vote
5
down vote
A lot of "algebra" is happening in programming language theory and practice nowadays, with knowledge of category theory and type theory really beneficial. Practical applications involve creating certified for correctness programs, and certifying existing programs for correctness.
You might have heard about computer-certified proofs of theorems, such as Odd Order Theorem - this essentially falls into the same domain.
(Here is the announcement).
For something completely different: symmetries are used in optimisation and machine learning, to reduce dimension etc. And, certainly, there is a lot of algebra in computational (algebraic and "usual") geometry.
Yet another applied topic with a lot of algebra is cryptography and coding theory; among the topics mentioned, it is probably the closest to finite group theory.
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
9
down vote
accepted
In the UK, there is the Applied Algebra and Geometry Research Network. You could browse the list of former speakers and abstracts for ideas.
The University of St Andrews has a strong group in Combinatorics and Algebra, with some members (such as Rosemary Bailey) working on computations and applications.
In Ireland, Graham Ellis's group at NUI Galway is very active in the field of computational algebra.
In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular Bernd Sturmfels' group works on applications of algebra to non-linear models
answered Sep 9 at 9:37
Mark Grant
20.8k654126
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
add a comment |Â
up vote
9
down vote
accepted
In the UK, there is the Applied Algebra and Geometry Research Network. You could browse the list of former speakers and abstracts for ideas.
The University of St Andrews has a strong group in Combinatorics and Algebra, with some members (such as Rosemary Bailey) working on computations and applications.
In Ireland, Graham Ellis's group at NUI Galway is very active in the field of computational algebra.
In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular Bernd Sturmfels' group works on applications of algebra to non-linear models
answered Sep 9 at 9:37
Mark Grant
20.8k654126
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
add a comment |Â
up vote
9
down vote
accepted
up vote
9
down vote
accepted
In the UK, there is the Applied Algebra and Geometry Research Network. You could browse the list of former speakers and abstracts for ideas.
The University of St Andrews has a strong group in Combinatorics and Algebra, with some members (such as Rosemary Bailey) working on computations and applications.
In Ireland, Graham Ellis's group at NUI Galway is very active in the field of computational algebra.
In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular Bernd Sturmfels' group works on applications of algebra to non-linear models
answered Sep 9 at 9:37
Mark Grant
20.8k654126
In the UK, there is the Applied Algebra and Geometry Research Network. You could browse the list of former speakers and abstracts for ideas.
The University of St Andrews has a strong group in Combinatorics and Algebra, with some members (such as Rosemary Bailey) working on computations and applications.
In Ireland, Graham Ellis's group at NUI Galway is very active in the field of computational algebra.
In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular Bernd Sturmfels' group works on applications of algebra to non-linear models
answered Sep 9 at 9:37
Mark Grant
20.8k654126
answered Sep 9 at 9:37
Mark Grant
20.8k654126
answered Sep 9 at 9:37
Mark Grant
20.8k654126
answered Sep 9 at 9:37
Mark Grant
20.8k654126
20.8k654126
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
add a comment |Â
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
Thank you so much. This is really helpful. I will browse through the links you provided. Thanks again.
– usermath
Sep 9 at 9:42
add a comment |Â
up vote
5
down vote
A lot of "algebra" is happening in programming language theory and practice nowadays, with knowledge of category theory and type theory really beneficial. Practical applications involve creating certified for correctness programs, and certifying existing programs for correctness.
You might have heard about computer-certified proofs of theorems, such as Odd Order Theorem - this essentially falls into the same domain.
(Here is the announcement).
For something completely different: symmetries are used in optimisation and machine learning, to reduce dimension etc. And, certainly, there is a lot of algebra in computational (algebraic and "usual") geometry.
Yet another applied topic with a lot of algebra is cryptography and coding theory; among the topics mentioned, it is probably the closest to finite group theory.
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
add a comment |Â
up vote
5
down vote
A lot of "algebra" is happening in programming language theory and practice nowadays, with knowledge of category theory and type theory really beneficial. Practical applications involve creating certified for correctness programs, and certifying existing programs for correctness.
You might have heard about computer-certified proofs of theorems, such as Odd Order Theorem - this essentially falls into the same domain.
(Here is the announcement).
For something completely different: symmetries are used in optimisation and machine learning, to reduce dimension etc. And, certainly, there is a lot of algebra in computational (algebraic and "usual") geometry.
Yet another applied topic with a lot of algebra is cryptography and coding theory; among the topics mentioned, it is probably the closest to finite group theory.
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
add a comment |Â
up vote
5
down vote
up vote
5
down vote
A lot of "algebra" is happening in programming language theory and practice nowadays, with knowledge of category theory and type theory really beneficial. Practical applications involve creating certified for correctness programs, and certifying existing programs for correctness.
You might have heard about computer-certified proofs of theorems, such as Odd Order Theorem - this essentially falls into the same domain.
(Here is the announcement).
For something completely different: symmetries are used in optimisation and machine learning, to reduce dimension etc. And, certainly, there is a lot of algebra in computational (algebraic and "usual") geometry.
Yet another applied topic with a lot of algebra is cryptography and coding theory; among the topics mentioned, it is probably the closest to finite group theory.
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
A lot of "algebra" is happening in programming language theory and practice nowadays, with knowledge of category theory and type theory really beneficial. Practical applications involve creating certified for correctness programs, and certifying existing programs for correctness.
You might have heard about computer-certified proofs of theorems, such as Odd Order Theorem - this essentially falls into the same domain.
(Here is the announcement).
For something completely different: symmetries are used in optimisation and machine learning, to reduce dimension etc. And, certainly, there is a lot of algebra in computational (algebraic and "usual") geometry.
Yet another applied topic with a lot of algebra is cryptography and coding theory; among the topics mentioned, it is probably the closest to finite group theory.
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
edited Sep 9 at 9:26
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
answered Sep 9 at 9:21
Dima Pasechnik
8,76911750
8,76911750
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
add a comment |Â
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
Thank you so much. I have heard about computer-proofs. That is really interesting. Unfortunately I have no exposure to type theory or category theory. However symmetries are more close to my research topic probably. Though I am open to learn new things. Do you have any suggestion regarding any specific institution or person? Thanks again.
– usermath
Sep 9 at 9:25
add a comment |Â
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1
I am not very sure if this is on topic here..
– Praphulla Koushik
Sep 9 at 5:41
1
@PraphullaKoushik Sorry for the post. But if you think some part of the question can be edited to make it on-topic, please feel free to advise.
– usermath
Sep 9 at 5:43
3
I view such listing of institutions as opinion-based and therefore problematic on this site.
– YCor
Sep 9 at 14:27
2
@YCor I had the impression the OP is asking for information on what people do in various institutions, not about any ranking of the people or the groups at those institutions. Hence I don't see that this is really "opinion-based"
– Yemon Choi
Sep 9 at 18:50
1
@StefanKohl very close :) I also work with Prof. Eick but she is not my advisor, her student is my advisor in Australia.
– usermath
Sep 10 at 0:53