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#### Open Access in DiVA

####

#### Authority records

Grøsfjeld, Tobias
#### Search in DiVA

##### By author/editor

Grøsfjeld, Tobias
##### By organisation

Department of Mathematics
On the subject

Mathematics
#### Search outside of DiVA

GoogleGoogle Scholar$(function(){PrimeFaces.cw('Chart','widget_formSmash_j_idt1353_0_downloads',{id:'formSmash:j_idt1353:0:downloads',type:'bar',responsive:true,data:[[72]],title:"Downloads of File (FULLTEXT02)",axes:{yaxis: {label:"",min:0,max:80,renderer:$.jqplot.LinearAxisRenderer,tickOptions:{angle:0}},xaxis: {label:"",renderer:$.jqplot.CategoryAxisRenderer,tickOptions:{angle:-90}}},series:[{label:'diva2:1891463'}],ticks:["Sep -24"],orientation:"vertical",barMargin:100,datatip:true,datatipFormat:"<span style=\"display:none;\">%2$d</span><span>%2$d</span>"},'charts');}); Total: 72 downloads$(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_j_idt1356",{id:"formSmash:j_idt1356",widgetVar:"widget_formSmash_j_idt1356",target:"formSmash:downloadLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade"});}); findCitings = function() {PrimeFaces.ab({s:"formSmash:j_idt1359",f:"formSmash",u:"formSmash:citings",pa:arguments[0]});};$(function() {findCitings();}); $(function(){PrimeFaces.cw('Chart','widget_formSmash_visits',{id:'formSmash:visits',type:'bar',responsive:true,data:[[333]],title:"Visits for this publication",axes:{yaxis: {label:"",min:0,max:340,renderer:$.jqplot.LinearAxisRenderer,tickOptions:{angle:0}},xaxis: {label:"",renderer:$.jqplot.CategoryAxisRenderer,tickOptions:{angle:-90}}},series:[{label:'diva2:1891463'}],ticks:["Sep -24"],orientation:"vertical",barMargin:100,datatip:true,datatipFormat:"<span style=\"display:none;\">%2$d</span><span>%2$d</span>"},'charts');}); Total: 333 hits
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The Art of Bad Art: Diagrammatics in Mathematical PhysicsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2024 (English)Doctoral thesis, comprehensive summary (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: Department of Mathematics, Stockholm University , 2024. , p. 38
##### Keywords [en]

Quantum Algebra, Category Theory, Supercategories, Knot Theory, Mathematical Physics, TQFT
##### National Category

Mathematics
##### Research subject

Mathematics
##### Identifiers

URN: urn:nbn:se:su:diva-232734ISBN: 978-91-8014-907-5 (print)ISBN: 978-91-8014-908-2 (electronic)OAI: oai:DiVA.org:su-232734DiVA, id: diva2:1891463
##### Public defence

2024-09-25, lärosal 17, hus 2, plan 2, Albano, Albanovägen 20, Stockholm, 13:00 (English)
##### Opponent

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#####

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##### List of papers

The purpose of a proof is to reduce the complexity of a statement until it becomes a sequence of trivialities. To this end, the choice of notation, diagrams and overall paradigm can aid in conveying large amounts of information in a simple manner. This compilation thesis focuses on the choice of visual tools to convey algebraic results in the context of mathematical physics, using a categorical paradigm with various topological semantics. The topics range from covering known results in knot theory, abstract diagram categories and low-dimensional topological quantum field theory, to novel results such as the topological rack exclusion principle, tetrahedral symmetry of framed associators and new diagrammatics for graded-monoidal categories based on the Kleisli presentation.We demonstrate how these diagrammatic methods can be used to simplify algebraic proofs and communicate across disciplines.

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3. A Graded Schur Lemma and a graded-monoidal structure for induced modules over graded-commutative algebras$(function(){PrimeFaces.cw("OverlayPanel","overlay1891461",{id:"formSmash:j_idt674:2:j_idt678",widgetVar:"overlay1891461",target:"formSmash:j_idt674:2:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

isbn
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