---
_id: '12800'
abstract:
- lang: eng
text: 'The evolutionary processes that brought about today’s plethora of living
species and the many billions more ancient ones all underlie biology. Evolutionary
pathways are neither directed nor deterministic, but rather an interplay between
selection, migration, mutation, genetic drift and other environmental factors.
Hybrid zones, as natural crossing experiments, offer a great opportunity to use
cline analysis to deduce different evolutionary processes - for example, selection
strength. Theoretical cline models, largely assuming uniform distribution of individuals,
often lack the capability of incorporating population structure. Since in reality
organisms mostly live in patchy distributions and their dispersal is hardly ever
Gaussian, it is necessary to unravel the effect of these different elements of
population structure on cline parameters and shape. In this thesis, I develop
a simulation inspired by the A. majus hybrid zone of a single selected locus under
frequency dependent selection. This simulation enables us to untangle the effects
of different elements of population structure as for example a low-density center
and long-range dispersal. This thesis is therefore a first step towards theoretically
untangling the effects of different elements of population structure on cline
parameters and shape. '
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Mara
full_name: Julseth, Mara
id: 1cf464b2-dc7d-11ea-9b2f-f9b1aa9417d1
last_name: Julseth
citation:
ama: Julseth M. The effect of local population structure on genetic variation at
selected loci in the A. majus hybrid zone. 2023. doi:10.15479/at:ista:12800
apa: Julseth, M. (2023). The effect of local population structure on genetic
variation at selected loci in the A. majus hybrid zone. Institute of Science
and Technology Austria. https://doi.org/10.15479/at:ista:12800
chicago: Julseth, Mara. “The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12800.
ieee: M. Julseth, “The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone,” Institute of Science and Technology
Austria, 2023.
ista: Julseth M. 2023. The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone. Institute of Science and Technology
Austria.
mla: Julseth, Mara. The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:12800.
short: M. Julseth, The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone, Institute of Science and Technology
Austria, 2023.
date_created: 2023-04-04T18:57:11Z
date_published: 2023-04-05T00:00:00Z
date_updated: 2023-06-02T22:30:05Z
day: '05'
ddc:
- '576'
degree_awarded: MS
department:
- _id: GradSch
- _id: NiBa
doi: 10.15479/at:ista:12800
file:
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creator: mjulseth
date_created: 2023-04-06T06:09:40Z
date_updated: 2023-06-02T22:30:04Z
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file_name: Dispersaldata.xlsx
file_size: 52795
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creator: mjulseth
date_created: 2023-04-06T06:11:27Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
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date_updated: 2023-06-02T22:30:04Z
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file_id: '12812'
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file_size: 1061763
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content_type: application/pdf
creator: mjulseth
date_created: 2023-04-06T08:26:37Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
file_id: '12813'
file_name: ThesisMaraJulseth_04_23.pdf
file_size: 1741364
relation: main_file
file_date_updated: 2023-06-02T22:30:04Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '21'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
title: The effect of local population structure on genetic variation at selected loci
in the A. majus hybrid zone
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14510'
acknowledged_ssus:
- _id: EM-Fac
- _id: Bio
- _id: LifeSc
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Nataliia
full_name: Gnyliukh, Nataliia
id: 390C1120-F248-11E8-B48F-1D18A9856A87
last_name: Gnyliukh
orcid: 0000-0002-2198-0509
citation:
ama: Gnyliukh N. Mechanism of clathrin-coated vesicle formation during endocytosis
in plants. 2023. doi:10.15479/at:ista:14510
apa: Gnyliukh, N. (2023). Mechanism of clathrin-coated vesicle formation during
endocytosis in plants. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14510
chicago: Gnyliukh, Nataliia. “Mechanism of Clathrin-Coated Vesicle Formation during
Endocytosis in Plants.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14510.
ieee: N. Gnyliukh, “Mechanism of clathrin-coated vesicle formation during endocytosis
in plants,” Institute of Science and Technology Austria, 2023.
ista: Gnyliukh N. 2023. Mechanism of clathrin-coated vesicle formation during endocytosis
in plants. Institute of Science and Technology Austria.
mla: Gnyliukh, Nataliia. Mechanism of Clathrin-Coated Vesicle Formation during
Endocytosis in Plants. Institute of Science and Technology Austria, 2023,
doi:10.15479/at:ista:14510.
short: N. Gnyliukh, Mechanism of Clathrin-Coated Vesicle Formation during Endocytosis
in Plants, Institute of Science and Technology Austria, 2023.
date_created: 2023-11-10T09:10:06Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2024-03-27T23:30:45Z
day: '10'
ddc:
- '570'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JiFr
- _id: MaLo
doi: 10.15479/at:ista:14510
ec_funded: 1
file:
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creator: ngnyliuk
date_created: 2023-11-20T09:18:51Z
date_updated: 2023-11-20T09:18:51Z
file_id: '14567'
file_name: Thesis_Gnyliukh_final_08_11_23.docx
file_size: 20824903
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creator: ngnyliuk
date_created: 2023-11-20T09:23:11Z
date_updated: 2023-11-23T13:10:55Z
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embargo_to: open_access
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file_size: 24871844
relation: main_file
file_date_updated: 2023-11-23T13:10:55Z
has_accepted_license: '1'
keyword:
- Clathrin-Mediated Endocytosis
- vesicle scission
- Dynamin-Related Protein 2
- SH3P2
- TPLATE complex
- Total internal reflection fluorescence microscopy
- Arabidopsis thaliana
language:
- iso: eng
month: '11'
oa_version: Published Version
page: '180'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-037-4
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '14591'
relation: part_of_dissertation
status: public
- id: '9887'
relation: part_of_dissertation
status: public
- id: '8139'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Jiří
full_name: Friml, Jiří
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Martin
full_name: Loose, Martin
id: 462D4284-F248-11E8-B48F-1D18A9856A87
last_name: Loose
orcid: 0000-0001-7309-9724
title: Mechanism of clathrin-coated vesicle formation during endocytosis in plants
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12897'
abstract:
- lang: eng
text: "Inverse design problems in fabrication-aware shape optimization are typically
solved on discrete representations such as polygonal meshes. This thesis argues
that there are benefits to treating these problems in the same domain as human
designers, namely, the parametric one. One reason is that discretizing a parametric
model usually removes the capability of making further manual changes to the design,
because the human intent is captured by the shape parameters. Beyond this, knowledge
about a design problem can sometimes reveal a structure that is present in a smooth
representation, but is fundamentally altered by discretizing. In this case, working
in the parametric domain may even simplify the optimization task. We present two
lines of research that explore both of these aspects of fabrication-aware shape
optimization on parametric representations.\r\n\r\nThe first project studies the
design of plane elastic curves and Kirchhoff rods, which are common mathematical
models for describing the deformation of thin elastic rods such as beams, ribbons,
cables, and hair. Our main contribution is a characterization of all curved shapes
that can be attained by bending and twisting elastic rods having a stiffness that
is allowed to vary across the length. Elements like these can be manufactured
using digital fabrication devices such as 3d printers and digital cutters, and
have applications in free-form architecture and soft robotics.\r\n\r\nWe show
that the family of curved shapes that can be produced this way admits geometric
description that is concise and computationally convenient. In the case of plane
curves, the geometric description is intuitive enough to allow a designer to determine
whether a curved shape is physically achievable by visual inspection alone. We
also present shape optimization algorithms that convert a user-defined curve in
the plane or in three dimensions into the geometry of an elastic rod that will
naturally deform to follow this curve when its endpoints are attached to a support
structure. Implemented in an interactive software design tool, the rod geometry
is generated in real time as the user edits a curve and enables fast prototyping.
\r\n\r\nThe second project tackles the problem of general-purpose shape optimization
on CAD models using a novel variant of the extended finite element method (XFEM).
Our goal is the decoupling between the simulation mesh and the CAD model, so no
geometry-dependent meshing or remeshing needs to be performed when the CAD parameters
change during optimization. This is achieved by discretizing the embedding space
of the CAD model, and using a new high-accuracy numerical integration method to
enable XFEM on free-form elements bounded by the parametric surface patches of
the model. Our simulation is differentiable from the CAD parameters to the simulation
output, which enables us to use off-the-shelf gradient-based optimization procedures.
The result is a method that fits seamlessly into the CAD workflow because it works
on the same representation as the designer, enabling the alternation of manual
editing and fabrication-aware optimization at will."
acknowledged_ssus:
- _id: M-Shop
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
citation:
ama: 'Hafner C. Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models. 2023. doi:10.15479/at:ista:12897'
apa: 'Hafner, C. (2023). Inverse shape design with parametric representations:
Kirchhoff Rods and parametric surface models. Institute of Science and Technology
Austria. https://doi.org/10.15479/at:ista:12897'
chicago: 'Hafner, Christian. “Inverse Shape Design with Parametric Representations:
Kirchhoff Rods and Parametric Surface Models.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12897.'
ieee: 'C. Hafner, “Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models,” Institute of Science and Technology Austria,
2023.'
ista: 'Hafner C. 2023. Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models. Institute of Science and Technology Austria.'
mla: 'Hafner, Christian. Inverse Shape Design with Parametric Representations:
Kirchhoff Rods and Parametric Surface Models. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:12897.'
short: 'C. Hafner, Inverse Shape Design with Parametric Representations: Kirchhoff
Rods and Parametric Surface Models, Institute of Science and Technology Austria,
2023.'
date_created: 2023-05-05T10:40:14Z
date_published: 2023-05-05T00:00:00Z
date_updated: 2024-01-29T10:47:51Z
day: '05'
ddc:
- '516'
- '004'
- '518'
- '531'
degree_awarded: PhD
department:
- _id: GradSch
- _id: BeBi
doi: 10.15479/at:ista:12897
ec_funded: 1
file:
- access_level: open_access
checksum: cc2094e92fa27000b70eb4bfb76d6b5a
content_type: application/pdf
creator: chafner
date_created: 2023-05-11T10:43:20Z
date_updated: 2023-12-08T23:30:04Z
embargo: 2023-12-07
file_id: '12942'
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date_created: 2023-05-11T10:43:44Z
date_updated: 2023-12-08T23:30:04Z
embargo_to: open_access
file_id: '12943'
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file_size: 265319
relation: source_file
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language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: '180'
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication_identifier:
isbn:
- 978-3-99078-031-2
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '9817'
relation: part_of_dissertation
status: public
- id: '7117'
relation: part_of_dissertation
status: public
- id: '13188'
relation: dissertation_contains
status: public
status: public
supervisor:
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
title: 'Inverse shape design with parametric representations: Kirchhoff Rods and parametric
surface models'
type: dissertation
user_id: 400429CC-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12072'
abstract:
- lang: eng
text: "In this thesis, we study two of the most important questions in Arithmetic
geometry: that of the existence and density of solutions to Diophantine equations.
In order for a Diophantine equation to have any solutions over the rational numbers,
it must have solutions everywhere locally, i.e., over R and over Qp for every
prime p. The converse, called the Hasse principle, is known to fail in general.
However, it is still a central question in Arithmetic geometry to determine for
which varieties the Hasse principle does hold. In this work, we establish the
Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x)
̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform
associated to a number field K. Our results cover products of arbitrarily many
linear, quadratic or cubic factors, and generalise an argument of Irving [69],
which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how
our main sieve results can be applied to treat new cases of a conjecture of Harpaz
and Wittenberg on locally split values of polynomials over number fields, and
discuss consequences for rational points in fibrations.\r\nIn the second question,
about the density of solutions, one defines a height function and seeks to estimate
asymptotically the number of points of height bounded by B as B → ∞. Traditionally,
one either counts rational points, or\r\nintegral points with respect to a suitable
model. However, in this thesis, we study an emerging area of interest in Arithmetic
geometry known as Campana points, which in some sense interpolate between rational
and integral points.\r\nMore precisely, we count the number of nonzero integers
z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all
squareful and bounded by B. Using the circle method, we obtain an asymptotic formula
which agrees in\r\nthe power of B and log B with a bold new generalisation of
Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan,
Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide
the first known counterexamples to leading constant predicted by their conjecture. "
acknowledgement: I acknowledge the received funding from the European Union’s Horizon
2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement
No. 665385.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Alec L
full_name: Shute, Alec L
id: 440EB050-F248-11E8-B48F-1D18A9856A87
last_name: Shute
orcid: 0000-0002-1812-2810
citation:
ama: 'Shute AL. Existence and density problems in Diophantine geometry: From norm
forms to Campana points. 2022. doi:10.15479/at:ista:12072'
apa: 'Shute, A. L. (2022). Existence and density problems in Diophantine geometry:
From norm forms to Campana points. Institute of Science and Technology Austria.
https://doi.org/10.15479/at:ista:12072'
chicago: 'Shute, Alec L. “Existence and Density Problems in Diophantine Geometry:
From Norm Forms to Campana Points.” Institute of Science and Technology Austria,
2022. https://doi.org/10.15479/at:ista:12072.'
ieee: 'A. L. Shute, “Existence and density problems in Diophantine geometry: From
norm forms to Campana points,” Institute of Science and Technology Austria, 2022.'
ista: 'Shute AL. 2022. Existence and density problems in Diophantine geometry: From
norm forms to Campana points. Institute of Science and Technology Austria.'
mla: 'Shute, Alec L. Existence and Density Problems in Diophantine Geometry:
From Norm Forms to Campana Points. Institute of Science and Technology Austria,
2022, doi:10.15479/at:ista:12072.'
short: 'A.L. Shute, Existence and Density Problems in Diophantine Geometry: From
Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.'
date_created: 2022-09-08T21:53:03Z
date_published: 2022-09-08T00:00:00Z
date_updated: 2023-02-21T16:37:35Z
day: '08'
ddc:
- '512'
degree_awarded: PhD
department:
- _id: GradSch
- _id: TiBr
doi: 10.15479/at:ista:12072
ec_funded: 1
file:
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checksum: bf073344320e05d92c224786cec2e92d
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date_created: 2022-09-08T21:50:42Z
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month: '09'
oa: 1
oa_version: Published Version
page: '208'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-023-7
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '12076'
relation: part_of_dissertation
status: public
- id: '12077'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
title: 'Existence and density problems in Diophantine geometry: From norm forms to
Campana points'
tmp:
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legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
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short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '11777'
abstract:
- lang: eng
text: "In this dissertation we study coboundary expansion of simplicial complex
with a view of giving geometric applications.\r\nOur main novel tool is an equivariant
version of Gromov's celebrated Topological Overlap Theorem. The equivariant topological
overlap theorem leads to various geometric applications including a quantitative
non-embeddability result for sufficiently thick buildings (which partially resolves
a conjecture of Tancer and Vorwerk) and an improved lower bound on the pair-crossing
number of (bounded degree) expander graphs. Additionally, we will give new proofs
for several known lower bounds for geometric problems such as the number of Tverberg
partitions or the crossing number of complete bipartite graphs.\r\nFor the aforementioned
applications one is naturally lead to study expansion properties of joins of simplicial
complexes. In the presence of a special certificate for expansion (as it is the
case, e.g., for spherical buildings), the join of two expanders is an expander.
On the flip-side, we report quite some evidence that coboundary expansion exhibits
very non-product-like behaviour under taking joins. For instance, we exhibit infinite
families of graphs $(G_n)_{n\\in \\mathbb{N}}$ and $(H_n)_{n\\in\\mathbb{N}}$
whose join $G_n*H_n$ has expansion of lower order than the product of the expansion
constant of the graphs. Moreover, we show an upper bound of $(d+1)/2^d$ on the
normalized coboundary expansion constants for the complete multipartite complex
$[n]^{*(d+1)}$ (under a mild divisibility condition on $n$).\r\nVia the probabilistic
method the latter result extends to an upper bound of $(d+1)/2^d+\\varepsilon$
on the coboundary expansion constant of the spherical building associated with
$\\mathrm{PGL}_{d+2}(\\mathbb{F}_q)$ for any $\\varepsilon>0$ and sufficiently
large $q=q(\\varepsilon)$. This disproves a conjecture of Lubotzky, Meshulam and
Mozes -- in a rather strong sense.\r\nBy improving on existing lower bounds we
make further progress towards closing the gap between the known lower and upper
bounds on the coboundary expansion constants of $[n]^{*(d+1)}$. The best improvements
we achieve using computer-aided proofs and flag algebras. The exact value even
for the complete $3$-partite $2$-dimensional complex $[n]^{*3}$ remains unknown
but we are happy to conjecture a precise value for every $n$. %Moreover, we show
that a previously shown lower bound on the expansion constant of the spherical
building associated with $\\mathrm{PGL}_{2}(\\mathbb{F}_q)$ is not tight.\r\nIn
a loosely structured, last chapter of this thesis we collect further smaller observations
related to expansion. We point out a link between discrete Morse theory and a
technique for showing coboundary expansion, elaborate a bit on the hardness of
computing coboundary expansion constants, propose a new criterion for coboundary
expansion (in a very dense setting) and give one way of making the folklore result
that expansion of links is a necessary condition for a simplicial complex to be
an expander precise."
alternative_title:
- ISTA Thesis
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author:
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full_name: Wild, Pascal
id: 4C20D868-F248-11E8-B48F-1D18A9856A87
last_name: Wild
citation:
ama: Wild P. High-dimensional expansion and crossing numbers of simplicial complexes.
2022. doi:10.15479/at:ista:11777
apa: Wild, P. (2022). High-dimensional expansion and crossing numbers of simplicial
complexes. Institute of Science and Technology. https://doi.org/10.15479/at:ista:11777
chicago: Wild, Pascal. “High-Dimensional Expansion and Crossing Numbers of Simplicial
Complexes.” Institute of Science and Technology, 2022. https://doi.org/10.15479/at:ista:11777.
ieee: P. Wild, “High-dimensional expansion and crossing numbers of simplicial complexes,”
Institute of Science and Technology, 2022.
ista: Wild P. 2022. High-dimensional expansion and crossing numbers of simplicial
complexes. Institute of Science and Technology.
mla: Wild, Pascal. High-Dimensional Expansion and Crossing Numbers of Simplicial
Complexes. Institute of Science and Technology, 2022, doi:10.15479/at:ista:11777.
short: P. Wild, High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes,
Institute of Science and Technology, 2022.
date_created: 2022-08-10T15:51:19Z
date_published: 2022-08-11T00:00:00Z
date_updated: 2023-06-22T09:56:36Z
day: '11'
ddc:
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- '514'
degree_awarded: PhD
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- _id: UlWa
doi: 10.15479/at:ista:11777
ec_funded: 1
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date_updated: 2022-08-10T15:34:10Z
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language:
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month: '08'
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page: '170'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-021-3
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology
status: public
supervisor:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
title: High-dimensional expansion and crossing numbers of simplicial complexes
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...