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Disaster Justice: Queer And Disabled Mobilities And Infrastructures Of Care In The Pacific Northwest, Rachel Springer Jun 2026

Disaster Justice: Queer And Disabled Mobilities And Infrastructures Of Care In The Pacific Northwest, Rachel Springer

Dissertations and Theses

This dissertation examines the social, political, and environmental pressures that drive LGBTQ+ migration to the Pacific Northwest and the social infrastructures people find on arrival. Drawing on thirty-four semi-structured interviews with LGBTQ+ adults who relocated between 2022 and 2025, it argues that these movements are best understood as responses to slow-onset disasters produced by the compounding interaction of legislative targeting and infrastructural violence.

State-level legislation targeting LGBTQ+ people—particularly transgender individuals—has fractured the geography of safety in the U.S., producing a landscape where civil rights, healthcare access, and everyday security vary dramatically across space. For those navigating these conditions at the …


Social Influencers Reduce Infection Burden And Modify Epidemic Lag In Group-Structured Populations, Aja Sutton, Adam Z. Reynolds, Matthew A. Turner, James Holland Jones Jun 2026

Social Influencers Reduce Infection Burden And Modify Epidemic Lag In Group-Structured Populations, Aja Sutton, Adam Z. Reynolds, Matthew A. Turner, James Holland Jones

Publications, Reports and Presentations

The impact of online social influence on social learning, health behaviour and population health is a new, rapidly developing area of study. Previous research focused specifically on digital influencers suggests they may be able to affect group-level diffusion of health-protective behaviours such that they modify epidemic outcomes. However, formal models have yet to test the intuitive hypothesis that the effect of digital influencers is sufficient to generate tangible real-world effects on epidemics. We develop an agent-based model that incorporates digital influencers into an epidemic scenario to test hypotheses about how competing influence messages affect the diffusion of health-protective behaviours throughout …


Introduction To Mathematical Analysis Ii, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen Jun 2026

Introduction To Mathematical Analysis Ii, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen

PDXOpen: Open Educational Resources

These lecture notes complement the book Introduction to Mathematical Analysis I, Third Edition, with sections on integration, numerical series, series of functions, and selected advanced topics. Together, both volumes support a one semester or two-quarter course on introductory mathematical analysis.

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Oregon Metro’S Regional Land Banking Site Selection Strategy, Margot Mcneely, Autumn Fluetsch, David Archuleta, Denise Torres, Dylan Giliberto, Rebekah Markillie Jun 2026

Oregon Metro’S Regional Land Banking Site Selection Strategy, Margot Mcneely, Autumn Fluetsch, David Archuleta, Denise Torres, Dylan Giliberto, Rebekah Markillie

Master of Urban and Regional Planning Workshop Projects

Project Background

For over a decade, communities in the Portland metro area have been struggling under a mounting housing affordability crisis. These trends particularly affect Black, Indigenous, and other people of color as well as immigrants, seniors, veterans, and people with disabilities. Given these mounting challenges, the region has turned to Oregon Metro to intervene.

Metro is currently studying land banking as a tool for implementing its Regional Housing Coordination Strategy and promoting affordable housing development in the Portland metro region. While they have acquired numerous sites that have been successfully developed into affordable housing, they are looking to improve …


Historic Parkrose: Planning For Vacant Properties, Rowan Anderson, Julia Cruz Jones, Akasha Lawrence Spence, Clara Lietz, Cal Storrs Jun 2026

Historic Parkrose: Planning For Vacant Properties, Rowan Anderson, Julia Cruz Jones, Akasha Lawrence Spence, Clara Lietz, Cal Storrs

Master of Urban and Regional Planning Workshop Projects

Crescent Consulting was engaged by Historic Parkrose, a Portland-based non-profit, to analyze vacant and under-utilized properties along Northeast Sandy Boulevard within the Historic Parkrose Business District. The area has been the focus of many planning efforts at the neighborhood, city, and state level that have identified community needs and priorities, yet implementation has been limited. Forthcoming Tax Increment Financing (TIF) funding may create opportunities to implement these plans and encourage reinvestment that will contribute to the corridor’s vitality and economic capacity. This report is a resource for evaluating and prioritizing vacant lot redevelopment opportunities in Parkrose, helping align future investment …


Gateway: Heat Resilience Focus Area Final Report, Jill Coleman, Sletsy Dlamini, Luke Gordon, Danny Harden-Ramella, Joe Kortenhof, Devery Sheridan Jun 2026

Gateway: Heat Resilience Focus Area Final Report, Jill Coleman, Sletsy Dlamini, Luke Gordon, Danny Harden-Ramella, Joe Kortenhof, Devery Sheridan

Master of Urban and Regional Planning Workshop Projects

In the Summer of 2021, Multnomah County experienced a heat dome that resulted in the tragic deaths of 75 people and caused 258 individuals to seek medical care in emergency rooms and urgent care facilities. While heat related treatment had been experienced in previous heat waves, no heat related deaths had been recorded by the county prior to the Heat Dome. Since 2021, heat-related fatalities have remained elevated above the pre-2021 baseline. Medical visits for illness and injury also remain elevated from 2021 onwards. Many of the more easily implementable short-term solutions have already been implemented in Portland, and the …


C-Tran Bus Stop Accessibility Action Plan, Grace Alston, Michelle Auster, Zoe Beckley, Noah Crawford, Ryan Gallo, Angelique Wallmann Jun 2026

C-Tran Bus Stop Accessibility Action Plan, Grace Alston, Michelle Auster, Zoe Beckley, Noah Crawford, Ryan Gallo, Angelique Wallmann

Master of Urban and Regional Planning Workshop Projects

Project Background

C-TRAN is the regional public transportation provider for the Clark County Public Transportation Benefit Area in Southwest Washington, providing connections to the Portland, Oregon, metro region. C-TRAN connects people to opportunities, supports economic vitality, and enhances the quality of life for the community.

The challenge - 66% of C-TRAN’s bus stops are non-ADA compliant, C-TRAN’s existing capital investment strategy lacks community input and a multi-year application.

The Opportunity - Our Bus Stop Accessibility Action Plan will leverage community engagement and social metric data to develop a long-term investment strategy.


Reimagining The Cully 5 Corners, Samuel Anderson, Noah Brown, Kaitlyn Cook, Nicholas Pelster, Michael Wickham, Steven Yee Jun 2026

Reimagining The Cully 5 Corners, Samuel Anderson, Noah Brown, Kaitlyn Cook, Nicholas Pelster, Michael Wickham, Steven Yee

Master of Urban and Regional Planning Workshop Projects

Reimagining the Cully 5 Corners is a project spearheaded by the Cully Coalition and Confluence Planning + Design, aiming to create a vision and plan for a centralized, connected, resilient hub for this area of NE Portland, Oregon.

The Cully Coalition envisions Cully as an equitable and socially just neighborhood that enriches and uplifts all community members while minimizing displacement, improving community cohesion, and supporting economic vitality.

Like many Portland areas annexed in the late 20th century, the Cully neighborhood has experienced decades of relative underinvestment in terms of public services, urban design, and business development.

Uplifting Cully starts with …


Investigating An Energy-Preserving Spectral Finite Difference Numerical Method For A Wave Equation On The Metric Graph, Tue Minh Tran Jun 2026

Investigating An Energy-Preserving Spectral Finite Difference Numerical Method For A Wave Equation On The Metric Graph, Tue Minh Tran

University Honors Theses

To investigate the accuracy and long-term energy conservation of a spectral finite difference numerical method for a wave equation on metric graphs. In conservative systems, numerical methods should preserve total energy. However, explicit finite difference methods require impractically small space steps and exhibit energy drift at end points. To address these limitations, a spectral finite difference method is implemented using a Fourier transformation. This semi-spectral method improves stability at endpoints while maintaining second-order accuracy, achieving an overall error of O(∆t2). We implement the semi-spectral method on the IEEE14 metric graph and provide visuals showing the initial condition …


Familial Roles In Grief With A Focus On Eldest Daughters In Latinx Communities, Julianna Falcon Jun 2026

Familial Roles In Grief With A Focus On Eldest Daughters In Latinx Communities, Julianna Falcon

University Honors Theses

The way in which grief impacts an individual is something that varies from person to person. However how grief impacts eldest daughters within the Latinx community and their familial roles is a subject that has had little to no research done thus far. The four participants in this exploratory study describe their own experiences with the shift in familial roles and their experience navigating grief. They all shared their experiences through semi-structured interviews. Where the findings displayed key themes surrounding expectations, support, proximity, and academic impacts within each of the interviews. More detail is provided within this study on how …


Interrupted By Design: The Impact Of Push Notifications On Stress And Task Performance, Mia Hohmann Jun 2026

Interrupted By Design: The Impact Of Push Notifications On Stress And Task Performance, Mia Hohmann

University Honors Theses

As digital communication becomes unavoidable at work, notifications have become one of the most common and overlooked sources of interruption. Drawing from current technostress literature, this study investigates how notifications impact acute and perceived stress as well as task speed and accuracy. In an experimental setting, employed university students (N = 35) completed a data-entry task while receiving either no notifications, task-relevant notifications or task-irrelevant notifications to examine how different types of digital interruptions influenced stress and performance. Stress was measured through a pre- and post-task survey and performance was assessed through both speed and accuracy. Although results showed significant …


Birth Satisfaction, As Measured By The Birth Satisfaction Scale–Revised (Bss-R), And Its Role In Predicting Breastfeeding Duration, Maternal-Infant Attachment, And Postpartum Depression, Molly Parker Jun 2026

Birth Satisfaction, As Measured By The Birth Satisfaction Scale–Revised (Bss-R), And Its Role In Predicting Breastfeeding Duration, Maternal-Infant Attachment, And Postpartum Depression, Molly Parker

University Honors Theses

Birth satisfaction has been consistently associated with improved maternal outcomes such as reduced postpartum depression (PPD), stronger maternal-infant attachment, and longer breastfeeding duration. However, the extent to which birth satisfaction independently predicts these outcomes remains unclear. This study examined whether birth satisfaction, as measured by the Birth Satisfaction Scale–Revised (BSS-R), predicts postpartum depression, maternal-infant attachment, and breastfeeding duration in a longitudinal cohort.

Data were drawn from the Prenatal Environmental And Child Health (PEACH) study. Birth satisfaction was assessed at 12 months postpartum using the BSS-R. Postpartum depression was measured using the Edinburgh Postnatal Depression Scale (EPDS), maternal-infant attachment using the …


Rarely Asked: The Systemic Failure To Support The Mental Health Of Caregivers Of Medically Complex Children, Morgan Motsinger Jun 2026

Rarely Asked: The Systemic Failure To Support The Mental Health Of Caregivers Of Medically Complex Children, Morgan Motsinger

University Honors Theses

Approximately one in four households in the United States cares for a child with special healthcare needs, yet the mental health of the caregivers providing that care is rarely addressed by the medical, faith, community, and social systems around them. This thesis examines the systemic gaps in mental health support for caregivers of children with life-limiting or medically complex diagnoses through a review of existing literature and an original mixed-method survey of 58 caregivers. Findings indicate that 50% of caregivers received no mental health support from their child's medical team at any point. Every respondent reported at least one clinically …


Developing A High-Resolution Off-Axis Common-Mode Digital Holographic Microscope, Lucy Cook Jun 2026

Developing A High-Resolution Off-Axis Common-Mode Digital Holographic Microscope, Lucy Cook

University Honors Theses

Off-axis digital holographic microscopy (DHM) is a powerful tool for 3D, non-invasive live-cell tracking without moving parts. However, traditional setups face an inherent dilemma: split-path interferometers offer high spatial resolution but poor temporal stability, while more stable common-mode configurations are historically limited to lower numerical aperture (NA) regimes. This thesis bridges that gap by scaling a common-mode DHM architecture into a high-resolution benchtop instrument featuring NA = 0.65 objectives, paired with a high-power 520 nm laser source to combat transmission losses and sustain imaging frame rates across an expanded optical footprint. We map the multi-variable design space required to satisfy …


Looking Upwards And Out: Comparing Buddhist And Humanist Frameworks For Enlightenment, Mason Mckinney-Best Jun 2026

Looking Upwards And Out: Comparing Buddhist And Humanist Frameworks For Enlightenment, Mason Mckinney-Best

University Honors Theses

During the Zen Boom of the 1950's, Psychologists, Philosophers, and other western thinkers were exposed to Zen Buddhism and began to harness some of the principles for use in Psychology. In the last 3 decades, Psychologists have renewed their interest in Buddhism, especially as "fourth wave" cultural competence has become an important part of Psychological practice. While work has been done in developing clinical applications of Buddhist practices, more could be found in Buddhism for the person who wishes to become more healthy.

Within Psychology, one figure had exactly that objective: Abraham Maslow. His work on Self-Actualization has been …


Grief, Silence, And Surveillance In Academic Settings, Rakhi Grey Jun 2026

Grief, Silence, And Surveillance In Academic Settings, Rakhi Grey

University Honors Theses

This study examines how grief is silenced, monitored, and regulated within higher education settings. Drawing on semi-structured interviews with undergraduate students who experienced the death of someone significant, this study explores how institutional expectations surrounding productivity, professionalism, emotional control, and academic functioning shape grief disclosure, emotional expression, and help-seeking behaviors. Using a critical theoretical framework informed by concepts of disenfranchised grief, legitimacy hierarchies, and surveillance, findings suggest that grief within higher education is not simply individually experienced, but socially and institutionally regulated. Participants described academic environments that often left little space for ongoing grief, requiring students to compartmentalize emotional distress, …


Conello Vendor Marketplace Capstone: A Review On The Capstone Process And Computer Science Degree, Levi Hauck Jun 2026

Conello Vendor Marketplace Capstone: A Review On The Capstone Process And Computer Science Degree, Levi Hauck

University Honors Theses

This Capstone Review Thesis discusses the current structure of the Computer Science Degree path and Computer Science Capstone at PSU. This thesis reviews the Conello Vendor Marketplace Capstone, a project designed to help address the issue of teambuilding in the workplace. It points out ways in which teamwork and organization is an underdeveloped skill in Computer Science. During the Capstone project, the project management method of Agile development was recommended and used. However, it became clear that the team, leader included, had a gap in knowledge and skills to be successful, as well as a lack of experience in team …


The Cleansing Effect Of Technological Investment: An Empirical Analysis Of Episodic Labor Market Polarization (2000–2010), Adam Murphy Jun 2026

The Cleansing Effect Of Technological Investment: An Empirical Analysis Of Episodic Labor Market Polarization (2000–2010), Adam Murphy

University Honors Theses

This paper investigates the episodic nature of labor market polarization in the United States between 2000 and 2010. While the Skill-Biased Technological Change (SBTC) framework may have successfully explained the rise of inequality in the 1980s, it struggled to account for the wage stagnation and hollowing out of the middle class that followed in the 1990s and 2000s. Utilizing Task-Biased Technological Change (TBTC) as a primary lens, this study examines how the codification of routine tasks allowed for the widespread substitution of middle-skill labor by technological capital. By synthesizing IPUMS-CPS occupational data with Bureau of Economic Analysis (BEA) investment statistics, …


Fundamentalist Disorientations For Queer Subjects: Narrative And Theory, Betty Canoso Jun 2026

Fundamentalist Disorientations For Queer Subjects: Narrative And Theory, Betty Canoso

University Honors Theses

This thesis examines disorientation experienced by queer people who were raised in high-cost fundamentalist Christianity–people like me. Disorientation is a philosophical concept useful for examining specific intersections of human experience, like queerness and fundamentalism. Philosophers such as Sara Ahmed (2006) and Ami Harbin (2016) have been exploring the intersection of queerness and disorientation. Psychologists, sociologists and researchers from other disciplines are analyzing the interrelatedness of queerness and religion, and disaffiliation and deconversion from high-cost or high-control religions is another ongoing area of interest. Yet, despite widespread interest in these concepts, few have looked at instances of disorientation as they pertain …


Who Keeps Us Safe? Youth Resistance And Security Regimes At The Neoliberal University, Arwen Hansell Jun 2026

Who Keeps Us Safe? Youth Resistance And Security Regimes At The Neoliberal University, Arwen Hansell

University Honors Theses

In a political climate shaped by surveillance, labor precarity, policing, and immigration enforcement, questions of (in)security increasingly organize everyday life. Governments justify security measures through the language of public safety, even as many people experience insecurity surrounding housing, healthcare, employment, and the future itself. Although critical security studies have examined policing, militarism, and surveillance extensively, youth are often overlooked as political actors despite their central role in social movements. This study addresses that gap by focusing on student labor organizers and activists navigating (in)security. Using collaborative ethnography, I conducted fieldwork at protests, labor organizing meetings, workshops, and demonstrations connected to …


"I Still Care About Her": Ambiguous Loss And Social Death In Substance-Affected Relationships, Margaret M. King Jun 2026

"I Still Care About Her": Ambiguous Loss And Social Death In Substance-Affected Relationships, Margaret M. King

University Honors Theses

Substance use creates a ripple effect, affecting the individual as well as their family members. The struggles associated with problematic substance use result in feelings of ambiguous loss towards the substance using individual, a type of loss in which a person is still living but either psychologically or physically unavailable. This research explores the experiences of ambiguous loss in college students with loved ones struggling with substance use, examining how they are thrust into caregiving roles, experience support, and find meaning within their loss. Seven semi-structured interviews were held with adult college students who identified as having a loved-one struggling …


The Power Of Perception: Latine Threat Narratives And Immigration Control In The United States, Nina Gallo Jun 2026

The Power Of Perception: Latine Threat Narratives And Immigration Control In The United States, Nina Gallo

University Honors Theses

Despite America's rich history as a self-proclaimed "nation of immigrants," immigration policy in the United States has functioned as a tool of social control designed to systematically exclude and restrict groups of people that pose a perceived threat to national identity and safety. This perceived threat has effectively been communicated through harmful narratives that stratify immigrant communities from the rest of society. Through this framing, support for punitive immigration policies thrives. Currently, Latine immigrants and their families have been the target of discriminatory immigration policies and enforcement tactics. No work to date has synthesized the current state of the immigration …


Jazz V. Law: An Overview Of Copyright Law For Jazz Musicians, Trevor Thompson Jun 2026

Jazz V. Law: An Overview Of Copyright Law For Jazz Musicians, Trevor Thompson

University Honors Theses

The United States copyright system has become increasingly complicated and has developed a bias toward written, notated mediums over performance mediums. This bias can be traced from the Statute of Anne through the modern system under the Copyright Act of 1976, and it directly affects jazz musicians' ability to comply with copyright laws and properly receive royalties for their work. This study traces the evolution of copyright law from 1710 to the present, noting important cases such as White-Smith Music Pub. Co. v. Apollo Co., McIntyre v. Double-A Music Corporation, and Tempo Music, Inc. v. Famous Music Corp. …


Geographic And Systemic Disparities In Maternal Health: A Systems Analysis Of Prenatal Care Access Across Rural Oregon, Cecelia Petrik Jun 2026

Geographic And Systemic Disparities In Maternal Health: A Systems Analysis Of Prenatal Care Access Across Rural Oregon, Cecelia Petrik

University Honors Theses

Objectives: In Oregon, 51% of hospitals providing labor and delivery services are located in rural areas. Consolidation of these hospitals and provider shortages has created severe geographic and systemic disparities in maternal healthcare. This thesis explores how geographic isolation and inadequate prenatal care access contribute to widening disparities in severe maternal morbidity (SMM) and mortality across Oregon's rural and frontier counties.

Methods: This study utilizes data from the Oregon Health Authority (OHA) Center for Health Statistics (2024) and analyzes spatial correlations across all 36 Oregon counties. A bivariate choropleth map was constructed to examine the structural intersection between health infrastructure …


Shallow-Marine Crinoid Genera May Have Been More Resilient Across Permian Extinction Events In Terms Of Richness Than Deep-Marine Crinoid Genera, Amelia C. Kolstad Jun 2026

Shallow-Marine Crinoid Genera May Have Been More Resilient Across Permian Extinction Events In Terms Of Richness Than Deep-Marine Crinoid Genera, Amelia C. Kolstad

University Honors Theses

Throughout the Phanerozoic, one of the most successful phyla of marine invertebrates has been Echinodermata. Echinodermata was particularly successful throughout the Paleozoic, with class Crinoidea making up a majority of occurrences. The proportion of echinoderm occurrences that are crinoids declined massively at the end of the Permian and continued to decrease into modern day, never fully recovering. One of the factors thought to have been so important for crinoid success in the Paleozoic and their decreasing success throughout geologic time has been their propensity for success in shallow-marine environments, though crinoids also exist within deep-marine environments. This study seeks to …


Agile In The Age Of Ai: Considerations And Improvements For Streamlining Developer Workflows, Stephen Feng Jun 2026

Agile In The Age Of Ai: Considerations And Improvements For Streamlining Developer Workflows, Stephen Feng

University Honors Theses

This paper examines the integration of AI language models into Agile developer workflows during a six-month software development project. Using the development of SagacityWall, a mindfulness-based social media application built by a team of eight undergraduates, it identifies three key areas in Agile processes where AI provided meaningful leverage: translating business requirements into actionable developer work tickets, accelerating framework research and technology stack decisions, and reducing onboarding friction through AI-assisted code scaffolding and Behavior-Driven Development story formatting. The study finds that AI meaningfully boosted productivity across these stages – not by replacing developer judgment, but by reducing overhead at each …


Moving Beyond Traditional Cost Containment For Glp-1 Coverage Within Oregon's Proposed Universal Health Plan, Manoj Rajesh Jun 2026

Moving Beyond Traditional Cost Containment For Glp-1 Coverage Within Oregon's Proposed Universal Health Plan, Manoj Rajesh

University Honors Theses

In 2022, Oregon voters passed Measure 111, constitutionally mandating access to affordable health care. As the Universal Health Plan Governance Board (UHPGB) designs the state's proposed single-payer system, it faces an unprecedented financial vulnerability: the clinical demand for GLP-1 receptor agonists. These high-cost, indefinite-use medications for obesity and metabolic syndrome threaten to overwhelm fixed public budgets. Historically, both the Oregon Health Plan's Medicaid framework and commercial private insurers have relied on static cost-containment models—categorical exclusions, step therapy, and aggressive utilization management—that achieve short-term fiscal solvency at the expense of comprehensive preventative care. This thesis argues that to fulfill the mandate …


Modeling Turbulent Accretion Flows Around Black Holes: Azimuthal Flux Derivative Density Curves In 3d Mhd Simulations, Sasmitha Purushothaman, Matthew D. Duez, Pavan Chawhan Jun 2026

Modeling Turbulent Accretion Flows Around Black Holes: Azimuthal Flux Derivative Density Curves In 3d Mhd Simulations, Sasmitha Purushothaman, Matthew D. Duez, Pavan Chawhan

University Honors Theses

When modeling two-dimensional axisymmetric accretion disks around Kerr black holes, setting the azimuthal terms of the MHD equations to zero causes the loss of turbulence and dynamo effects. In this paper, we use three-dimensional models to identify the turbulence that arises from azimuthal flux derivatives (AFDs) and create probability density functions to characterize them. We establish a pipeline for calculating the AFDs, creating a distribution, and normalizing it. Then, we plot the dependence of the conditional probability of the AFDs on density, magnetic field strength, and velocity for the continuity and magnetic induction equations. Future research can take this information …


Homelessness And Business: Perception, Affect And Opportunity, Asatur Nor-Ashkarian Jun 2026

Homelessness And Business: Perception, Affect And Opportunity, Asatur Nor-Ashkarian

University Honors Theses

This thesis examines the relationship between business owners and individuals experiencing homelessness within urban commercial districts in the United States, arguing that the dynamic is shaped primarily by spatial concentration, uneven power structures, economic pressure, and public framing rather than simple conflict between competing interests. Drawing on stakeholder analysis, business perception surveys, a mixed-methods study, and an original content analysis of 50 news articles spanning 23 states, this thesis identifies a consistent pattern: business owners broadly perceive homeless presence as negatively impacting safety, cleanliness, and consumer behavior. Local news media reinforces those perceptions through predominantly negative framing of homeless individuals. …


Comparing The Sensitivity And Degree Of Boolean Functions Via The Hypercube, Anne-Caroline Rupp Jun 2026

Comparing The Sensitivity And Degree Of Boolean Functions Via The Hypercube, Anne-Caroline Rupp

University Honors Theses

This thesis studies three complexity measures of total Boolean functions f:{0,1}n → {0,1}: maximum sensitivity s(f), polynomial degree deg(f), and spectral sensitivity λ(f), where λ(f) is defined as the spectral norm of the adjacency matrix of the sensitivity graph. Building on the results of Aaronson et al., we examine the inequality chain √s(f) ≤ λ(f) ≤ deg(f) and investigate whether all three quantities can be simultaneously equal.

The first part of the thesis reverse engineers the equality cases of the two known inequalities to isolate necessary extremal conditions on both the Fourier structure of f and the local geometry …